The graph of y =[tex]\sqrt[]{x}[/tex]nis transformed as shown in the graph below. Which equation represents the transformed function?
![The Graph Of Y =[tex]\sqrt[]{x}[/tex]nis Transformed As Shown In The Graph Below. Which Equation Represents](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/wcMfC4qOYUZwOCOAbLUPdgR4gCbkF9g1.png)
![The Graph Of Y =[tex]\sqrt[]{x}[/tex]nis Transformed As Shown In The Graph Below. Which Equation Represents](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/DTAN0C8kRAADHviJXipSUPK83WX7WoPs.png)
Answers
Answer:
[tex]\textsf{A)}\quad y=-\sqrt{x}+2[/tex]
Step-by-step explanation:
Parent function:
[tex]y = \sqrt{x}[/tex]
The properties of the parent function are:
Starts at the origin, so y-intercept is at (0, 0)Domain: x ≥ 0Range: y ≥ 0As x increases, y increasesFrom inspection of the graph, as the x-values increase, the y-values decrease. Therefore there has been a reflection in the x-axis.
The y-intercept is now at (0, 2), therefore the function has been translated 2 units up.
Translations
For a > 0
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
Therefore:
Reflected in the x-axis: [tex]-f(x)=-\sqrt{x}[/tex]
Then translated 2 units up: [tex]-f(x)+2=-\sqrt{x}+2[/tex]
So the equation that represents the transformed function is:
[tex]y=-\sqrt{x}+2[/tex]
Related Questions
Use the tables below to answer the following questions: a. f(h(2)) b. g(h(f(1))) c. g(g(4))
Answers
Answer:
19-73 19-73 and the other half way back home from the
to ghana 5hjgf and to the 8
Solve the following quadratic by
completing the square.
y = x2 - 6x +2
Answers
Answer: [tex]3 \pm \sqrt{7}[/tex]
Step-by-step explanation:
[tex]1) \text{ } x^{2}-6x+2=0\\\\2) \text{ } x^{2}-6x=-2\\\\3) \text{ } x^{2}-6x+\left(\frac{-6}{2} \right)^{2}=-2+\left(\frac{-6}{2} \right)^{2}=7\\\\4) \text{ } (x-3)^{2}=7\\\\5) \text{ } x-3 =\pm \sqrt{7} \longrightarrow \boxed{3 \pm \sqrt{7}}[/tex]
Scalar and Matrix Multiplication
Answers
Answer:
multiply 1/2 by each element in the matrix
Step-by-step explanation:
6. 32
39 15
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k=______.
Answers
Answer:
5
Step-by-step explanation:
Look at one of the coordinates to find k. For this example I'll look at the y-intercepts (0, 3) (for g(x)) and (0, -2) (for f(x))
g(0) = 3
g(0) = f(0) + k
3 = -2 + k
5 = k
Subtract-3x - 8 from 4x² - 7x - 2.
Answers
[tex]( {4x}^{2} - 7x - 2) - (3x - 8) \\ \\ {4x}^{2} - 7x - 2 - 3x + 8 \\ \\ {4x}^{2} - 10x + 4.[/tex]
3. Complete the square for the following equations:
a. y = 2x² 12x + 1
b. y = 4x² + 48x - 10
Answers
Answer:
a. y = 2(x + 3)² - 17
b. y = 4(x + 6)² - 154
Step-by-step explanation:
a. y = 2x² + 12x + 1
y = 2[(x² + 6x)] + 1
y = 2[(x + 3)² - 9] + 1
y = 2(x + 3)² - 18 + 1
y = 2(x + 3)² - 17
b. y = 4x² + 48x - 10
y = 4[(x² + 12x)] - 10
y = 4[(x + 6)² - 36)] - 10
y = 4(x + 6)² - 144 - 10
y = 4(x + 6)² - 154
This circle is centered at the origin, and the length of its radius is 8. What is
the equation of the circle?
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: x² + y² = 64[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Standard equation of circle is :
[tex]\qquad \tt \rightarrow \: (x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]
[tex] \textsf{h = x - coordinate of centre of circle} [/tex][tex] \textsf{k = y - coordinate of centre of circle} [/tex][tex] \textsf{r = radius= 8} [/tex]Since the circle is centered at origin, h = k = 0
[tex]\qquad \tt \rightarrow \: (x - 0) {}^{2} + (y - 0) {}^{2} = {8}^{2} [/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + {y}^{2} = 64 [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
For the data set 7, 5, 10, 11, 12, the mean, x, is 9. What is the standard
deviation?
Answers
Answer:
Standard Deviation is s = 2.9
Step-by-step explanation:
Count = [tex]N[/tex] = 5
Mean = [tex]x^-[/tex] = 9
Variance = [tex]s^2[/tex] = 8.5
SD Formula = [tex]s = \sqrt \frac{1}{N - 1} (x_{i} - x^-)^2[/tex]
Variance Formula[tex]s^2 = \frac{(x_{i} - x^-)^2}{N- 1}[/tex]
Step 1: Calculate the variance
[tex]= \frac{(7-9)^2 + (5-9)^2 + (10-9)^2 + (11-9)^2 + (12 -9)^2 }{5-1}[/tex]
[tex]=\frac{34}{4} = 8.5[/tex]
Step 2: Apply square root/SD formula
[tex]=\sqrt{8.5} = 2.9[/tex]
Select the correct answer from each drop-down menu.
The function f is given by the table of values as shown below.
Drop down box options:
The parent function of the function represented in the table is: Linear, Exponential, Quadratic
If function f was translated down 4 units, the: x- and f(x), x, or f(x)
-values would be: divided by 4, increased by 4, decreased by 4, multiplied by 4
A point in the table for the transformed function would be : (1, 52), (2,23), (4,87), (3,29)
Answers
The above Exponential function has the parent function to be F(x).
The value will decreased by 4.A point in the table for the transformed function would be : (1, 52), What is the transformation about?The difference between successive terms is: 6, 18, 54, 162. These are known to be in the powers of 2 and therefore one can say that there is an exponential increase in the parent function.
The new function is said to g(x). Translating down by 4 means that the new y-values are 4 units lower and so the answer is that the f(x)/y-values will be decreased by 4.
Therefore, looking at the above, since g(x)=f(x)-4 one need to know the value of x, the new y-value is lower by 4 from the old one. This is the case only for (1, 52) since the old function is (1, 13).
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which statement is true of the function f(x) = -3 squared root x
Answers
Using translation concepts, it is found that the function [tex]f(x) = -3\sqrt{x}[/tex] is the function [tex]g(x) = \sqrt{x}[/tex] reflected over the x-axis and vertically stretched by a factor of 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, from [tex]g(x) = \sqrt{3}[/tex] to [tex]f(x) = -3\sqrt{x}[/tex], g(x) was multiplied by -3, that is, it was reflected over the x-axis(due to the multiplication by the negative number) and vertically stretched by a factor of 3.
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Here is a list of numbers:7,12,16,20,27,40,56,64
Work out the difference between the two square numbers
Work out the difference between the two cube numbers
Answers
Answer:
48 and 37
Step-by-step explanation:
The 2 square numbers are 16 (4 squared) and 64 (8 squared)
So the difference between these 2 numbers: 64 - 16=48
The 2 cube numbers are 27 (3 cubed) and 64 (4 cubed)
64-27=37
answer:
48 and 37
step explanation:
The 2 square numbers are 16 (4 squared) and 64 (8 squared)
So the difference between these 2 numbers: 64 - 16=48
The 2 cube numbers are 27 (3 cubed) and 64 (4 cubed)
64-27=37
Damek has five number cards lying on the table. There are two number cards with digit 1, two number cards with digit 2 and one number card with 0. How many different three-digit numbers can Damek form? (Number cannot being with 0).
(P.S. Is there a way to find the answer without listing all the possibilities?)
Answers
Damek can form 14 three-digit numbers from the given situation. Hence, only 14 possibilities.
There are five number cards on the table.
2- digit 1 card
1- digit 0 card
2- digit 2 card
There is a possibility of putting 1 or 2 in the hundredth place.
If 1 is put in the hundredth place then there are 3 possibilities for tenth place 1,0,2
If 1 is put there then there is a possibility of 2 numbers 0,2 in ones place
If 2 is put then there is a possibility of 3 numbers 0,1,2 in ones place
If 0 is put then there is a possibility of 2 numbers 1,2 in ones place.
So, there are 7=(2+3+2) possibilities that the hundredth place is filled by 1.
Similarly, there will be 7 possibilities that the hundredth place is filled by 2.
Hence, there are 14 possibilities as required by the problem.
So, the possibilities of 3-digit numbers are (given the number cannot start with 0) 14.
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(08.02)How many solutions are there for the system of equations of shown on the graph?
O No solution
O One solution
O Two solutions
O Infinitely many solutions
Answers
Answer: B. One solution
Step-by-step explanation: As you see, both of these lines intersect on the point (0, 3). The point where the lines intersect is the solution. Since these lines are perpendicular, they will only intersect one time. Therefore, there is only one solution, that being (0, 3).
I hope this helps!! Pls mark brainliest :)
How many more unit tiles must be added to the
function f(x)=x²-6x+1 in order to complete the square?
A 1
B 6
C 8
D 9
Answers
*f(x) = ax^2 + bx + c*
To complete the square, c needs to be (b/2)^2.
So in this case, you take -6, divide it by two. This gives you -3. Then you square -3, which gives you 9.
To have c = 9, we must add 8.
Which of the following rational functions is graphed below?
Answers
Answer:
B
Step-by-step explanation:
The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.
This question has already been posted, so all credit goes to jimthompson5910.
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Which equation is equivalent to the given equation?
-4(X - 5) + 8x = 9x - 3
Answers
Answer:
-5x=-23
Or
X=23/5
Step-by-step explanation:
Match each equation to the situation it represents.
Answers
Answer:
1-3
2-2
3-1
Step-by-step explanation:
2 goes to 2
And 3 goes to 1
Which is true about the solution to the systems of inequalities shown?
Answers
Answer:
There are no solutions
Step-by-step explanation:
If y is greater or equal to 3x+1 it can not be less than 3x-3 since 3x-3 is 4 less than 3x+1. Therefore, there can not be any solutions for the system of inequalities.
Which equation represents the line that passes through the point (-2.4, -7.1) and has a slope of -5.3
Answers
-7.1= -5.3(-2.4) + c
C= -12.72-7.1 = −19.82
Y= —5.3x-19.82
1) Which statement is needed to complete this syllogism? If a quadrilateral has 4 congruent sides, then it is a rhombus. If it is a rhombus, then it’s diagonals are perpendicular. Therefore, if ________________________, then it’s diagonals are perpendicular.
A) a quadrilateral has 4 congruent sides
B) it is a rhombus
C) it is a rectangle
D) it has diagonals
Answers
Statement A is needed to complete this syllogism. its diagonals are perpendicular. Therefore, if a quadrilateral has 4 congruent sides then its diagonals are perpendicular.
What is a syllogism?A logical structure for a formal argument that includes a major, minor, and conclusion.
This syllogism cannot be concluded without Statement A. The diagonals of it are parallel. As a result, a quadrilateral's diagonals are perpendicular if it has four congruent sides.
If a quadrilateral has 4 congruent sides, then it is a rhombus. If it is a rhombus, then its diagonals are perpendicular.
Therefore, if a quadrilateral has 4 congruent sides then its diagonals are perpendicular.
Hence option A is correct.
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Answer:
a quadrilateral has 4 congruent sides
Step-by-step explanation:
Syllogisms are connected by a shared statement that connects a hypothesis to a different conclusion.
Problem 4
(a) three friends are packing sweets into gift boxes. they agree that
each box should contain the same number of sweets, but they are
each working in separate locations with their own pile of sweets so
cannot share boxes. gwen has 286 sweets, bill has 390 sweets and
zeta has 468 sweets. if they put the largest number of sweets into
each box that they can and they use up all their sweets, how many
boxes of sweets will they pack?
(b) use the euclidean algorithm to find the highest common factor of
8008 and 24255 (you need to show all working).
Answers
Answer:
286+390+468÷3= answer
A rectangular field with sides as shown below has to be fenced all around. If fencing posts have to be fixed at 1-metre intervals, how many posts are needed?
1. 167
2. 334
3. 668
4. 6840
Answers
Step-by-step explanation:
the perimeter of a rectangle is
2×length + 2×width
so, here
2×95 + 2×72 = 190 + 144 = 334 m
so, yes, the answer 2. 334 is correct.
The solution is Option B.
The total number of posts is the total perimeter of the rectangular field and the value of N = 334 posts
What is the Perimeter of a Rectangle?
The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P = 2 ( Length + Width )
Given data ,
Let the number of posts be = N
Fencing posts have to be fixed at 1-metre intervals
The perimeter of the rectangular field = number of posts
Now , the equation will be
The length of the rectangular field = 95 m
The width of the rectangular field = 72 m
Perimeter P of the rectangle = 2 ( Length + Width )
Substituting the values in the equation , we get
Perimeter of the rectangle P = 2 ( 95 + 72 )
On simplifying the equation , we get
Perimeter of the rectangle P = 2 ( 167 )
Perimeter of the rectangle P = 334 m
Now , the number of posts = perimeter of the rectangular
So , the number of posts N = 334 posts
Therefore , the value of N is 334
Hence , the number of posts is 334 posts
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On a biased dice the probably of getting a 6 is 4/5 the dice is rolled 500 times estimate how many 6s would be riled
Answers
Answer:
400
Step-by-step explanation:
4/5×500
=400 6s would be riled
I need these answers ASAP would be very grateful for these if you would like to help me out I would appreciate it and give a good amount of points!
Answers
Answer:
5. 8π 6. 18π 7. 8.6π 8. 11/4π
Step-by-step explanation:
8. 2 3/4
2*4+3 = 11/4
PLEASE HELP !!! which choices are equivalent to square root of -4???
Answers
Answer:
-2
Step-by-step explanation:
just a guess but it's right
√-4 is a complex number and its square root is another complex number ‘2i’.
please help me with my math
Answers
Answer:
x = 115
z = 27
Step-by-step explanation:
x + 65 = 180 (same side interior angles)
x = 115
x = 3z +34 (alternate interior angles)
115 = 3z + 34
3z = 81
z = 27
Step-by-Step Solution:
We know, Adjacent or Consecutive Interior Angles are Supplementary and Alternate Interior Angles are Equal.
So,
=> x + 65 = 180 (Adjacent interior angles)
=> 3z + 34 = x (Alternate interior angles)
First solve Equation 1 :-
x + 65 = 180
x = 180 - 65
=> x = 115
Therefore, x = 115.
Now we got the value of ‘x’. Substitute this value in Equation 2 to find the value of ‘z’ hence completing our answer.
Substitute value of ‘x’ in Equation 2 :-
3z + 34 = x
3z + 34 = (115)
3z = 115 - 34
3z = 81
z = 81/3
=> z = 27
Therefore, z = 27.
Now we have the required answers.
Hence, x = 115 and z = 27.
please help in this as well thank !!
Answers
Step-by-step explanation:
4a.
the circumference of a circle is
2×pi×r
we know, r = 6 cm.
so the whole circumference is
2×pi×6 = 12×pi = 37.69911184... cm
4b.
the arc BC is the part of the full circumference that corresponds to 120° out of the 360° of a full circle.
the arc BC is then
12×pi × 120/360 = 12×p × 1/3 = 4×pi = 12.56637061... cm
the perimeter of the shaded area (pie slice) is the arc BC plus 2 radius lengths (from the arc points to the center of the circle)
12.56637061... + 2×6 = 12.56637061... + 12 =
= 24.56637061... cm
4c.
the area of a circle is
pi×r²
in our case
pi×6² = 36pi = 113.0973355... cm²
the area of the shaded area (pie slice) is the 120° part of the full 360° circle area :
36pi × 120/360 = 36pi × 1/3 = 12pi = 37.69911184... cm²
PLs help answer ASAP
Answers
Answer:
The factors of the given equation are:
(11x−8)(11x+2)
Step-by-step explanation:
Since both terms are perfect squares,
Factorize using the difference of squares formula,
[tex]a^{2} -b^{2}[/tex][tex]=(a+b)(a-b)[/tex]
where a=11x−3 and b=5.
=> (11x-3+5)(11x-3-5)
=> (11x+2)(11x−8)
=>[tex](11x-3)^{2}-25[/tex]
Use the binomial theorem [tex](a-b)^{2}=a^{2} +b^{2} -2ab[/tex] to expand[tex](11x-3)^{2}-25[/tex]
=> [tex](11x^{2})+(3)^{2}- 2(11x)(3)-25[/tex]
=>[tex]121x^{2} + 9 - 66x -25[/tex]
=> [tex]121x^{2} -16+ 66x[/tex]
By the splitting method,
=> (11x−8)(11x+2)
The factors of the equation are (11x−8)(11x+2).
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Round the number to the nearest ten-thousands:
388,725
a. 400,000
b.390,000
c. 388,800
d. 389,000
Answers
Answer:
B is the correct answer
Step-by-Step:
i need help with this question (answer choices 15, 5, and 12)
Answers
Answer:
x = 15
Step-by-step explanation:
the opposite angles of a cyclic quadrilateral sum to 180° , then
6x + 20 + 3x + 25 = 180 , that is
9x + 45 = 180 ( subtract 45 from both sides )
9x = 135 ( divide both sides by 9 )
x = 15