The answer should be in the form of a(x-h)2 + k.
explanation:
Since we are not translating up or down, the k value is 0. We will not be adding any values to the outputs of the original equation here. a will equal 1 since no stretches are occurring. So we are left with the h value.
f(x) = x2 is given.
g(x) = a horizontal translation of 3 units left. This means that the h value is -3, because in order to move left, you need to take 3 away from all x values (inputs). So the point (2,4) on f(x) would become (-1,4) on g(x).
How do we write this?
g(x) = f(x-h) where h = -3.
So this is g(x) = f(x - (-3)) = f(x+3)
g(x) = (x+3)2
Hope it helps!
The value of function g (x) will be;
⇒ g (x) = (x- 0)² + 3
What is Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
The function g(x) is the translation 3 units up of f(x) = x².
Now,
Since, The function is,
⇒ f (x) = x²
And, The function g(x) is the translation 3 units up of f(x) = x².
So, The function g (x) is defined as;
⇒ g (x) = x² + 3
⇒ g (x) = (x- 0)² + 3
Thus, The value of function g (x) will be;
⇒ g (x) = (x- 0)² + 3
Learn more about the translation visit:
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An equilateral triangle has side lengths of 24. What is the
height of the triangle?
sorry wrong answer i don't know how to remove
Step-by-step explanation:
Pythagorean theorem
Surgery Satisfaction Survey
Surgery Satisfied Dissatisfied Total
Knee 70 25 95
Hip 90
15 105
Total 160 40 200
The table shows survey results for 200 patients who had either hip or knee surgery. If one person is selected randomly, what is the
probability he or she was dissatisfied, given that he or she had hip surgery? (Round to the nearest tenth of a percent.)
A)
44.2%
B)
38.6%
0
21.7%
D)
14.3%
Answer: D) 14.3%
Step-by-step explanation:
Conditional probability formula:
[tex]P(B |\text{given that A}) =\dfrac{P(A\ and\ B)}{P(A)}[/tex]
So, The probability he or she was dissatisfied, given that he or she had hip surgery = [tex]\dfrac{\text{Number of persons are dissatisfied and has hip surgery}}{\text{Total persons have hip surgery}}[/tex]
From the table, the number of persons who are dissatisfied and has hip surgery = 15
Total persons have hip surgery = 105
Required probability = [tex]\dfrac{15}{105}\approx0.143[/tex]
In percent, Required probability = 14.3%
Correct option D) 14.3%
The measures of three of the interior angles of a quadrilateral are 60°, 110°, and 90°. What is the measure of the fourth angle of this quadrilateral?
Answer:
100°
Step-by-step explanation:
all four angles added together total 360°
x = 360° - 60° - 110° - 90°
x = 100°
Which of the following statements are true? Select all that apply
Help please, thank you :)
Answer:
Equation B, 10 + 5.50n = y.
Step-by-step explanation:
N is the pounds of shrimp that were purchased. This has no set value, it can change at any time.
Since each pound of shrimp is $5.50, if you wanted to buy 10 pounds of fish you'd pay $55.
If I wanted to write an equation to find the total amount of money that I'd need to pay for n pounds of shrimp, I would use the equation 5.50n. (I don't know if this makes sense lol I'm terrible at explaining ;-;)
Now, it states that he wants an extra 10 dollars to pay for expenses. On top of the 5.50n, he wants an extra $10.
You need to add 10 to 5.50, in order to get the total amount, or y.
The final equation is going to be 5.50n + 10 = y, or choice B.
Explain the difference between center and shape of a data set.
Answer
The center is the median and/or mean of the data. The spread is the range of the data. And, the shape describes the type of graph. The four ways to describe shape are whether it is symmetric, how many peaks it has, if it is skewed to the left or right, and whether it is uniform.
Step-by-step explanation:
Please hurry!
I need both parts by tonight!
Answer:
okokookokokokjfdgugv
which table shows a proportional relationship between x and y
Answer:D
Step-by-step explanation:in other 3 option there is no proportion ...
Answer:
the answer is D
Step-by-step explanation:
what is the Circumference of
r = 126 cm
C =?
Answer:
C≈791.68
Step-by-step explanation:
C=2πr=2·π·126≈791.68135
Which is a greater angle of rotation? 720° or 6π radians? Explain how you know.
Answer: the angle would be much greater because the angle calculated up to over 12 radians
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf 6 \pi \ radians}}[/tex]
Step-by-step explanation:
It's hard to compare degrees and radians, so we should convert, then compare.
To convert radians to degrees, we multiply by 180 over pi. This way, the pi will cancel out when dividing.
[tex]radian * \frac {180}{\pi}[/tex]
[tex]6 \pi * \frac {180}{\pi}[/tex]
[tex]\frac {1080 \pi}{\pi} \\[/tex]
[tex]1080[/tex]
6π radians is equal to 1080 degrees, which is much larger than 720 degrees, so it is the greater angle of rotation.
two swimmers swam lobstering practice together the swim 175 laps swmmier b swam 25 more than twice as many as swimmer a how many laps did swimmer a swim
Answer:
swimmer b swims 100 yards. approximately how many more feet did swimmer a swim than swimmer b? 2.
Step-by-step explanation:
What is the area of the figure below?
5 in
13 in
12 in
13- (-9)
explain how you got this answer
16+ only please answer this
Answer:
22
Step-by-step explanation:
double negative is a plus sign
13--9=22
Answer: 22
Step-by-step explanation:
Here, we need to know the concept of changing signs. Under any circumstances, if there is a "-" sign outside of parenthesis, the signs inside need to be the opposite. If you are still not very clear, I can provide some examples below:
1-(+1) ⇒ there is a "-" sign, so we need to convert the sign inside "+" to "-" ⇒ 1-1 ⇒ 02-(-1) ⇒ there is a "-" sign, so we need to convert the sign inside "-" to "+" ⇒ 2+1 ⇒ 3-------------------------------------------------------
Given
13 - (-9)
⇒There is a "-" sign outside
⇒We need to convert the sign inside "-" to "+"
⇒13+9
⇒22
Hope this helps!! :)
Please let me know if you have any questions
A cylindrical tank has a volume of 628 inches cubed. The height of the tank is 8 inches. What is the area of the base?
Answer: 78.5 in2
Step-by-step explanation:
(secx cscx)/(cotx)=sec^2x
How to verify the identity?
Answer:
34
Step-by-step explanation:
Answer:
its c trust
Step-by-step explanation:
im trust worthy
Which expression is equivalent to sqrt 36/25
Answer:
There are a lot of expressions that are equivalent to that, please be more specific.
Step-by-step explanation:
Which of the following characteristics does not describe a stock?
O A. No guarantee you will get your money back
B. No maturity date
C. Money can be earned from capital gains
O D. No certificate of ownership
Answer:
D. No certificate of ownership
Two lines intersecting at a right angle
o form a line.
O are parallel.
O are perpendicular.
o form a ray.
Save and Exit
Next
Submit
Mark this and retum
Answer: are perpendicular
Step-by-step explanation:
Two lines intersecting at a right angle are said to be perpendicular. When the lines cross each other, we say the lines have intersected.
The point of intersection of the lines is the pointe where they cross one another. In case the lines never interesct, such lines are refered to as the parallel lines.
HELP I ONLY HAVE THESE TWO QUESTIONS LEFT!!!!!!! First, How Many cubic blocks of side length 1/6 inch would it take to fill a cube with a side length of 2/6 inch? Second question, How many cubic blocks of the side length 1/7 inch would it take to fill a Rectangular prism with a length, width,and height of 3/7, 1/7, and 3/7 inch, respectively?
Answer:
1. There are 8 cubic blocks are needed to fill a cube. Explanation in pic
2. 441 cubic blocks will fill the rectangular prism. Explanation in pic
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
1. 8 cubic blocks, 2. 9 cubic blocks
Step-by-step explanation:
Mark runs to catch a ball. Explain how the structure of muscle tissue helps him perform this function
Answer:
Muscles give structure and power for any kind of movement, so the tissue needs to be flexible and tightly packed for movement. The tight bands of tissue shown in the picture allows this movement to occur.
Step-by-step explanation:
By running your muscles can get stronger in power so it gives you a better chance to catch the ball with your speed and strength.
Answer:
Muscles give structure and power for any kind of movement, so the tissue needs to be flexible and tightly packed for movement. The tight bands of tissue shown in the picture allows this movement to occur.
Step-by-step explanation:
Edmentum Answer
Reports say that the mean birth weight of babies of European heritage is 3.5\text{ kg}3.5 kg3, point, 5, start text, space, k, g, end text. Marta wants to perform a significance test to see if this holds true in her nation. She takes a random sample of babies and observes a mean birthweight of \bar x=3.43\text{ kg.} x ˉ =3.43 kg.X, with, \bar, on top, equals, 3, point, 43, start text, space, k, g, point, end text Here's Marta's null hypothesis: H_0:H 0 :H, start subscript, 0, end subscript, colon The mean birth weight in this nation is...
Answer:
Reports say that the mean birth weight of. babies of European heritage is 3.5 kg. Marta wants to perform a significance test to see if this holds true in her nation. She takes a random sample of babies
pls help 7 3/5 ft= yd
Answer:
2.53333333333
Step-by-step explanation:
3/5 as a decima is 0.6 so 7.6 divided by 3 is 2.53333333333
Answer:
2 8/15
Step-by-step explanation:
3ft/1 yard=7 3/5 feet/ x yards
38/5=3x
x=2 8/15
the perimeter is ___ units
Help please I really need this !!!!
Answer:
List 2
Step-by-step explanation:
i got it right
24 divided by the product of 6 and 2
Answer:
2
Step-by-step explanation:
Well, the product of 6 x 2 is 12. and 24/12 is 2
Answer:
the answer is 2
Step-by-step explanation:
=[tex]\frac{24}{6*2}[/tex]
=[tex]\frac{24}{12}[/tex]
=2
Number 12 please help 10 points no links pleAse
Answer:
C
Step-by-step explanation:
50
52
53
56
We have the 5 at the stem, so we need 0, 2, 3, and 6 at the leaf.
Describe and correct the error in writing an equation of the line with a slope of 2 and a y-intercept of 7.
Please don't put any links or I will report you.
Answer:
The mistake they made was they switched the slope and y-intercept.
The correct answer is y=2x+7 because when we write an equation in slope intercept form (y=mx+b) you replace m with the slope and b with the y-intercept.
Hope this helps! <3
Which expression below has a Coefficient of 3?
HELP plesse with 9 and 10
Answer:
Find the solutions below
Step-by-step explanation:
Given the equation
y = -x^2 + 2x + 7
y = -2x+2
Equating both expressions
-x^2 + 2x + 7 = -2x + 2
-x^2 + 2x + 7 + 2x - 2 = 0
-x^2 + 4x + 5 = 0
Multiply through by -1
x^2 - 4x - 5 = 0
Factorize
x^2 - 5x + x - 5 = 0
x(x-5)+1(x-5) = 0
(x+1)(x-5) = 0
x+1 = 0 and x - 5 = 0
x = -1 and 5
when x = -1
y = -2x+2
y = -2(-1)+2
y = 2+2
y = 4
when x = 5
y = -2(5)+2
y = -10+2
y = -8
Hence the solutions are (-1, 4) and (5, -8)
b) y = x^2-3x-27
y = x - 6
Equating both expressions
x^2-3x-27 = x - 6
x^2-3x-27 - x + 6 = 0
x^2-4x-21 = 0
x^2 - 7x + 3x - 21 = 0
x(x-7)+3(x-7) = 0
(x+3)(x-7) = 0
x = -3 and 7
when x = -3
y = -3-6
y = -9
when x = 7
y = 7 - 6
y = 1
Hence the required solutions are (-3, -9) and (7, 1)
A circle of radius 10.5cm has a sector whose angle at the centre is cut off. Find the perimeter of the resulting sector.