what is the equation of the parabola?
a- y= -1/8(x+3)^2 +2
b- y=1/8(x-3)^2-2
c-y=1/8(x+2)^2+3
d-y=-1/8(x-2)^2-3
WILL GIVE BRAINLIEST
Answers
Answer:
D. y = -1/8(x-2)² - 3
Step-by-step explanation:
General eqaution of a parabola : y = a(x-h)² + k where (h,k) is the vertex and a determines whether the parabola goes up or down as well as the width of the parabola
step 1 identify vertex
the vertex is the point that starts the curve
the vertex appears to be at (2,-3)
step 2 plug in h and k using the x and y values of the vertex
again we have y = a(x-h)² + k where (h,k) is the vertex
here the vertex is (2,-3) so h = 2 and k = -3
we get y = a(x-2)² - 3
because the curve goes down a must be negative 1/8
so the final equation would be y = -1/8(x-2)² - 3 meaning D would be the answer
Related Questions
Find the surface area of the pyramid.
Answers
Answer:
319
Step-by-step explanation:
So, to find the surface area, first we find the base area, which is: 11 x 11 = 121
Then, we have to find the area of the other faces. Since each face is a triangle, we can use the formula A = 1/2 x b x h.
So,
b = 11
h = 9
1/2 x 11 x 9 = 49.5
The, we multiply by 4, the number of sides: 49.5 x 4 = 198
Then, we add the 2, values: 121 + 198,
Which gives us: 319.
Hope this helped!
3(-4x + 5y) - 3x(2 + 4y simplify please
Answers
Hopefully this helps if you want to know how to do it!
(Btw for the 2nd part you’re distributing the -3x to the numbers not just 3x)
Look at the following expression:
the fraction one half x 4 + 6 − 3
Where should a set of parentheses go in the expression to get a value of 2?
Group of answer choices
the fraction one half x (4 + 6) − 3
the fraction one half x 4 + (6 − 3)
( the fraction one half x 4) + 6 − 3
the fraction one half x (4 + 6 − 3)
Answers
Answer:
Option AStep-by-step explanation:
Verify the answer choices for the final value of 2.
A) the fraction one half x (4 + 6) − 31/2 × (4 + 6) - 3 = 1/2 × 10 - 3 = 5 - 3 = 2, correctB) the fraction one half x 4 + (6 − 3)1/2 × 4 + (6 - 3) = 2 + 3 = 5 ≠ 2, incorrectC) ( the fraction one half x 4) + 6 − 3(1/2 × 4) + 6 - 3 = 2 + 6 - 3 = 5 ≠ 2, incorrectD) the fraction one half x (4 + 6 − 3)1/2 × (4 + 6 - 3) = 1/2 × 7 = 7/2 = 3 1/2 ≠ 2, incorrectPlease help I need help
Answers
Answer:
see photo attached for detailed analysis
Step-by-step explanation:How high is a weather balloon that is tied to the ground if it is secured by a 15m long rope and the angle between the rope and the ground is 35?
Answers
I’m too tired pls help I’ll mark brainlest
Answers
Answer:
B is the answer I thought it was C sorry
Option B is correct
1/2 = 2/4
2
The area of a rectangle is given by the
expression 36cd + 90d. Which of the
following are possible dimensions for
the rectangle?
O A. 9 by 40 + 10d
O B. 36 by cd + 5d
O C. 6d by 6c + 15
OD. 18d by 2c + 5d
Answers
Answer:C
Step-by-step explanation:
6d(6c +15) = 36cd +90d
Determine the value of k so that the solutions of the equation x^2-kx+36=0 are the same value
Answers
The discriminant is calculated and set equal to zero. Thus, we obtain a double root.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ (-k)^2-4(1)(36)=0\ \Longrightarrow\ k^2=144 } \end{gathered}$}[/tex]
The possible values of the coefficient of the linear term are k₁=12, k₂=-12.
tan2x=___
A. tan x/1+tan^2 x
B. tan x/1-tan^2 x
C. 2tan x/1-tan^2 x
D. 2tan x/1+tan^2 x
Answers
Step-by-step explanation:
tan2x = sin2x/cos2x
we know that ,
sin2x = 2sinxcosx sin2x = 2sinxcosx cos2x = cos²x - sin²xSince, tan2x = 2sinx*cosx/cos²x- sin²x
Dividing by cos²x in numerator and denominator.
We get ,
tan2x = 2sinx/cosx / 1- sin²x/cos²x Since, we get tan2x= 2tanx/1-tan²x Option (c) is correct option. Hope it will be helpfulJen and her friends are designing a robot for a STEM competition. The goal of the competition is to have a robot complete an obstacle course in the least amount of time.
Jen and her friends need to consider the robot’s height and its width at its base. The robot must be short enough and narrow enough to navigate through several arches along the obstacle course. The director of the competition laid out components of the obstacle course on a coordinate plane. Instead of giving the width and maximum height of the arch, the director created an expression based on the location of the arch on the coordinate plane and gave each team this expression to represent the height of the arch, in inches, at any value of x along the arch:
-x^2 + 5x + 24.
Factor the expression, and use the factors to find the x-intercepts of the quadratic relationship it represents.
Type the correct answer in each box, starting with the intercept with the lower value.
The x-intercepts occur where x =___ and x =___
Answers
The x-intercepts for the expression which is used by Jen and her friends to represent the height of the arch, in inches, at any value of x along the arch are 8,0) and (-3,0).
What is a factor of quadratic equation?The factor of a quadratic is the terms in linear form, which are when multiplied together, give the original quadratic equation as a result.
Jen and her friends need to consider the robot’s height and its width at its base. The robot must be short enough and narrow enough to navigate through several arches along the obstacle course.
The expression to represent the height of the arch, in inches, at any value of x along the arch:
[tex]-x^2 + 5x + 24.[/tex]
Factorize this expression by equating it to zero and changing its sign,
[tex]\begin{aligned}-x^2 + 5x + 24=0\\x^2 - 5x - 24=0\\x^2 - 8x +3x- 24=0\\x(x - 8)+3(x - 8)=0\\(x-8)(x+3)=0\\x=8,-3\end[/tex]
Thus, the x intercept of the equation is (8,0) and (-3,0)
Hence, the x-intercepts for the expression which is used by Jen and her friends to represent the height of the arch, in inches, at any value of x along the arch are 8,0) and (-3,0).
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Answer: x = 8,0 and x = -3,0
Step-by-step explanation:
The graph relates the temperature change y (in degrees Fahrenheit) to the altitude change x (in thousands of feet). Altitude Change
Answers
Based on the relationship between the temperature and altitude change, the slope is -3.6 and the y-intercept is 59. The equation of the line is y = - 3.6x + 59.
What is the equation for this line on altitude change v. temperature change?First find the slope. This can be found by the formula:
= (Y₂ - Y₁) / (x₂ - x₁)
Two points on line:
(0, 59) and (7, 33.8)
Slope is:
= (33.8 - 59) / (7 - 0)
= -3.6
The y intercept is the point the line crosses the y axis which is 59.
The formula is:
y = mx + c
Where;
m = slope
c = y intercept
So the equation is:
y = -3.6x + 59
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4.80 for 16 ounces of cereal how much did i spend per ounce?
Answers
Answer:
0.3 per ounce
4.80 / 16 = 0.3
0.3 × 16 = 4.80
On the sale price of cloth was reduced from rs 940to rs 760 .Find the discount
Answers
Answer:
180 RS discount
Step-by-step explanation:
because 940-760 is 180
A watering can contained 5 1/2 quarts water. After all the plants were watered, only 4 cups remained.
How many cups of water were used to water the plants?
A: 7 Cups
B: 18 Cups
C: 40 Cups
D: 84 Cups
Answers
Answer:
b:18 cups
Step-by-step explanation:
It is because 5.5 quarts of water is equal to 22 cups of water because 1 quart is equal to 4 cups.
now when you take 4 cups away you have 18 cups left
Can you please help me with 12 please?
Answers
Answer: y = 1/2x + 12
What is the amplitude of this equation? y = -10cos(5x)
Answers
Answer:
The amplitude is 10.
Answer:
the amplitude of this equation is 10
Step-by-step explanation:
I took extra mathematics in high school :)
I hope this helps you! Good luck !
same thing as last time i just need an answer don't take this down
Answers
Answer:
The answer is A.
Answer:
Step-by-step explanation:
Comment
The marks between numbers (there are 3 between each number) represent 0.25
Your point is nearly -6.
Go one backwards -6 + 0.25 = - 5.75
You have to be going toward the positive direction because -6 is smaller than -5.75
Answer: A
Plsss help meee. Worth 15 points<3
A sentence with antonyms has two words with
somewhat different meanings
opposite meanings
similar meanings
the same meanings
Answers
Answer:
a word opposite in meaning to another (ex bad and good)
please help me find the answer to this, the work on it is wrong!!
Answers
Answer:
P=2(8+15)
2(23)
=46 units
A=L×W
8×15
=120square units
. Given the number n, write an expression for:
(a) Twice the sum of n and 5
(b) The sum of twice n and 5
© Give a numerical example that shows these are not the same expression.
Answers
Answer:
a) 2(n + 5)
b) 2n + 5
Step-by-step explanation:
Writing an algebraic expression:
a) Sum of n and 5 ⇒ n + 5
Twice sum of n and 5 ⇒ 2*(n +5) = 2*n + 2*5
= 2n + 10
b) Twice n ⇒ 2*n = n
Sum of twice n and 5 ⇒ 2n + 5
Jean-Paul incorrectly states that
4.2874 + 1.286 = 4.416.
His work is
shown below.
Explain Jean-Paul's
mistake and correct his work.
Please help due at 4:20
Answers
4.2874 (U add a zero if there is no number for that area)
1.2860
_____
5.5743 is the right answer :)
WXYZ is a parallelogram. What is the angle DZW?
Answers
The correct angle measurement DZW = 55°
How to find the angle DZW?Note the following parameters
, m∠W = 125° and m∠Z = 55°
The measure of angle <DYZ is given as:
<DYZ = 125 ⁰
The opposite angles of a parallelogram are equal.
This means that, angles W and Y have equal measures
This implies that
<ZWZ = <DYZ
<XWZ=125
The adjacent angle of a parallelogram add up to 180 degrees.
This is to say that
<DXW = 180 - <DYZ
<DXW= 180-125
<DXW= 25
Angles X and Z are equal because they are opposite angles.
This is to say that
<Z = 55
Hence, the measure of angle DZW is 55⁰
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Can someone help me I’ve already done it once and can’t redo it after this try I got them all wrong. Pls help
Answers
Sin K = 10.5/17.5
Cos J = 10.5/17.5
Cos K = 14/17.5
Tan J = 14/10.5
Tan K 10.5/14
Three figures exist such that abcd ≅ ghij and bcda ≅ rstu. if gh = 6 cm, hi = 8 cm, ij = 10 cm, and gj = 9 cm, what is ts? 6 cm 8 cm 9 cm 10 cm
Answers
The figures abcd, ghij and rstu are congruent figures, and the value of length ts is 8 cm
How to determine the length ts?The congruent statement is given as:
abcd ≅ ghij and bcda ≅ rstu
The above statement means that:
ts = dc = ij
From the question, we have:
ij = 10 cm
This means that
ts = 10 cm
Hence, the value of length ts is 8 cm
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Answer:
D: 10 cm
Worked for me on the "Congruent Figures" quiz on edge
What’s the area and perimeter?
Answers
Answer:
•12
Step-by-step explanation:
fInd Little bit at end by pythogotous and find are of shaded the find areo of non shaded and take away with shaded triangle
3l of ice cream is 10$ 4l of ice cream is 12% which is the better choice
Answers
Answer:
4l of icecream
Step-by-step explanation:
10÷3=3.33
12÷4=3
А support wire 12 yards long is attached to the top of a utility pole 10
yards tall and is then stretched taut. To the nearest tenth of a yard, find
how far from the base of the pole wire will be attached from the ground.
Hint: Solve using this equation:
2
2
x² + 10² = 12²
Answers
Answer:
6.6 yd
Step-by-step explanation:
[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
[tex]10^{2}[/tex]+[tex]b^{2}[/tex]=[tex]12^{2}[/tex] Substitute a= 10 and c=12
100+[tex]b^{2}[/tex]=144 Evaluate the Powers
[tex]b^{2}[/tex]=44 Subtract 100 on both sides.
b=[tex]\sqrt{44}[/tex] Square root both sides b>0 so you dont need ⊥
b=6.6 Use a calculator to evaluate.
Which of the following statements is true?
A.
The components of a vector must be nonzero.
B.
A vector’s magnitude is equal to the sum of the squares of its components.
C.
The magnitude of a vector is never negative.
D.
The direction of a vector is always less than the magnitude.
Answers
A student has some $1 and $5 bills in his wallet. He has a total of 17 bills that are worth $49. How many of each type of bill does he have?
The student has $1 bills and
(Type whole numbers.)
$5 bills.
Answers
Answer:
He has 8 five $5 bills and 9 $1 bills
Step-by-step explanation:
($5×8)+($1×9)=$49
In a random sample of 74 homeowners in a city, 22 homeowners said they would
support a ban on nonnatural lawn fertilizers to protect fish in the local waterways. the sampling
method had a margin of error of +3.1%.
a) find the point estimate.
b) find the lower and upper limits and state the interval.
Answers
The point estimate is 29.73% and the lower and upper limits are 26.63% and 32.83% respectively.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
Point estimate = 22/74 = 0.2973 = 29.73%
Lower limit = point estimate - MOE = 29.73 - 3.1 = 26.63%
Upper limit = point estimate + MOE = 29.73 + 3.1 = 32.83%
Thus, the point estimate is 29.73% and the lower and upper limits are 26.63% and 32.83% respectively.
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