If the point (0, 20) is the y-intercept of the parabola with the vertex is (8, -12), What is the equation for this parabola.

Answers

Answer 1

Answer:

              f(x) = ¹/₂(x - 8)² - 12

Step-by-step explanation:

f(x) = a(x - h)² + k            - vertex form of the equation of the parabola with vertex (h, k)

so the equation of parabola with the vertex (8, -12) is

f(x) = a(x - 8)² - 12  

The point (0, 20) is the y-intercept means if x=0 then f(x)=20

20 = a(0 - 8)² - 12 

20 +12 = 64a - 12 +12

32 = 64a

a = ³²/₆₄ = ¹/₂

Therefore the equation (in vertex form) of parabla is:

                                  f(x) = ¹/₂(x - 8)² - 12  


Related Questions

Graph the line that represents the equation please

Answers

Answer:

graph it on -1/2

Step-by-step explanation:for the y-axis you would put it on -1 and for the x axis put it on 2 :) if its wrong please lmk! or if you need help let me know

Ok please somebody help me “For every 330 feet a person travels up a mountain the temperature drops 1 °F. If the temperature is 78 °F. at the base of a 6,270- foot mountain, what is the temperature at the peak?”

Answers

I believe it's 19 degrees Fahrenheit. Sorry if I'm wrong, but you take the base (6270) and divide it by 330 to find how many times it changes, or the temp. At the peak

Which expression uses the associative property to make it easier to evaluate 6(3/2 * 1/5)?

A. (6 * 3/2)1/5
B. (3/2 * 1/5)6
C. 6(3/2 * 1/5)
D. 6(1/5 * 3/2)

Answers

The right one is C because it easier to multiple

Answer:

A. (6*3/2)1/5

Step-by-step explanation:

A-P-E-X

3.6.2 CST

Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each person? Define a variable, write an equation, solve the equation, and answer in a complete sentence.

Answers

Answer:

Juan = 93 years.

Gabe = 31 years.

Catherine = 25 years.

Step-by-step explanation:

Let the age of Juan = J

Let the age of Gabe = G

Let the age of Catherine = C

Translating the word problem into an algebraic equation, we have;

[tex] J = 3G[/tex] ..........equation 1

[tex] G = C + 6 [/tex] ........equation 2

[tex] J + G + C = 149 [/tex] ........equation 3

We would solve the linear equations by using the substitution method;

Substituting equation 2 into equation 1;

[tex] J = 3(C + 6)[/tex]

[tex] J = 3C + 18[/tex] ........equation 4

Substituting equation 2 and equation 4 into equation 3;

[tex] (3C + 18) + (C + 6) + C = 149 [/tex]

Simplifying the equation, we have;

[tex] 5C + 24 = 149[/tex]

[tex] 5C = 149 - 24[/tex]

[tex] 5C = 125[/tex]

[tex] C = \frac {125}{5}[/tex]

C = 25 years.

To find G; from equation 2

[tex] G = C + 6[/tex]

Substituting the value of "C" into equation 2, we have;

[tex] G = 25 + 6[/tex]

G = 31 years.

To find J; from equation 1

[tex] J = 3G [/tex]

Substituting the value of "G" into equation 1, we have;

[tex] J = 3 * 31[/tex]

J = 93 years.

Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.

Name two planes that intersect in SW in the figure to the right

Choose the correct answer below.

A. plane XTS and plane TSR
B. plane STX and plane VRQ
C. plane XTS and plane VRS
D. plane TSR and plane VRS​

Answers

Answer:

a is the right answer you got this

Step-by-step explanation:

PLEASE SOMEONE HELP ME. I WILL BRAINLIEST YOU AND GIVE YOU POINTS.

Answers

its b looooooooook  hgshk djcsgIUGUF

Solve the simultaneous equations
2x + 3y = 6
7x – 2y = 1

Answers

Answer:

x=0.6, y=1.6

Step-by-step explanation:

Multiply the first equation by 2 and the second equation by 3, so we can cancel out the y terms:

4x+6y=12

21x-6y=3

Add these 2 equations together:

25x=15

x=0.6

Now, to solve for y, plug x back into any of the equations above:

2(0.6)+3y=6

1.2+3y=6

3y=4.8

y=1.6

Answer:

Below in bold.

Step-by-step explanation:

2x + 3y = 6             Multiply by 2:

7x – 2y = 1             Multiply by 3:

4x + 6y = 12

21x - 6y = 3              Adding:

25x = 15

x = 0.6.                      Substitute x = 0.6 into the first equation:

2*0.6 + 3y = 6

3y = 6 - 1.2 = 4.8

y = 1.6.

Ms. Patel drove 165 miles in 3 hours. If she continues driving at the same speed, how many miles will Ms. Patel drive in 7 hours?

Answers

Answer:

1155

Step-by-step explanation:

165 × 7 = 1155

i hink this is the answert

HURRY PLEASE!!!!!!

Identify the pairs of supplementary angles (hurry i’m begging)

Answers

Answer:

It's: A

Step-by-step explanation:

This is for one of my ARMY friends. Which property of math is 7+(-2)=(-2)+7

Answers

it’s commutative because the values inside the parentheses didn’t change. the order only changed

HELP PLEASE ! What is 8x^3+3+6x^2+4x factored? (Show steps please !)

Answers

Add (4x + 3) x (2x 2+1) to get your answer

an equation in slope-intercept form that passes through the points ( 14, -15) , ( 7, -15 ).

Answers

Here you go!! I hope this helps

Which pair of angles is an example of supplementary angles?
A. Angle 1 and Angle 7
B. Angle 3 and Angle 6
C. Angle 2 and Angle 7
D. Angle 1 and Angle 4

Answers

Answer:

I would give you a straight answer if I could see the angles, but all I can say with this is that supplementary angles are angles that add up to 180 degrees.

Hope that helps!

Answer:

A. Angle 1 and Angle 7

Step-by-step explanation:

Angle 1 and Angle 7 are not equal but add up to 180° So your answer is A

What is the value of y in the solution to the following system of linear equations?
(2x+2=y
[2y = 5x-1
O 3
05
08
12

Answers

Answer:

The value of y is 12 nd that of x is 7

12  is the value of y in the solution to the following system of linear equations 2x+2=y and 2y=5x-1

The given system of linear equations 2x+2=y abd 2y=5x-1

2x-y=-2...(1)

-5x+2y=-1..(2)

Multiply equation (1) with 2.

4x-2y=-4

-5x+2y=-1

Add both the equations

-x=-5

x=5

Now plug in x value

2(5)+2=y

12=y

12 is the value of  y.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

Which value of X will allow the following set of ordered pairs to represent a function? (3,7) (2,6) (x,8) (1,5)

Answers

Answer:

[tex]x[/tex] must be number different to 1, 2 and 3 to guarantee that given relation is a function.

Step-by-step explanation:

From Function Theory, we know that a function is a relation in which all domain elements are not related to at least two different elements from range. Which means that [tex]x \in \mathbb{R}-\{1,2,3\}[/tex], that is, that [tex]x[/tex] is a real number different to 1, 2 and 3.

Hence, we conclude that [tex]x[/tex] must be number different to 1, 2 and 3 to guarantee that given relation is a function.

Jonathan is dowloading a movie on netflix the movie is approximately 720 MB if the movie takes 20 seconds to download what is the rate

Answers

Answer:

r,myp5\6t[

Step-by-step explanation:

the time, t, in seconds, is required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given this equation

Answers

Answer:

C. [tex] d = \frac{at^2}{2} [/tex]

Step-by-step explanation:

Given:

[tex] t = \sqrt{\frac{2d}{a}} [/tex]

Required:

Make d the subject of the formula.

SOLUTION:

[tex] t = \sqrt{\frac{2d}{a}} [/tex]

Square both sides

[tex] t^2 = (\sqrt{\frac{2d}{a}})^2 [/tex]

[tex] t^2 = \frac{2d}{a} [/tex]

Multiply both sides by a

[tex] a*t^2 = \frac{2d}{a}*a [/tex]

[tex] at^2 = 2d [/tex]

Divide both sides by 2

[tex] \frac{at^2}{2} = \frac{2d}{2} [/tex]

[tex] \frac{at^2}{2} = d [/tex]

[tex] d = \frac{at^2}{2} [/tex]

Question 6 (1 point) Fossils are usually found in sedimentary rock. O True O False​

Answers

Answer: true

Step-by-step explanation:

What’s the slope of the line? Please help!!

Answers

Answer:

1

Step-by-step explanation:

Answer:

y=x+2

Step-by-step explanation:

:)

Find the equation of the line passing through the points (3,3) and (4,5)

Answers

Answer:

Y = Mx + B

Step-by-step explanation:

I think it's ur answer.

what is P versus NP, its supposed to be one of the hardest questions in the world

Answers

Answer:

P is the set of problems whose solution times are proportional to polynomials involving N's. ... NP (which stands for nondeterministic polynomial time) is the set of problems whose solutions can be verified in polynomial time. But as far as anyone can tell, many of those problems take exponential time to solve.

Step-by-step explanation:

YW!!!

The domain of a function f(x) is the set of all integers from 0 to 10, and the range of f(x) is the set of all in
from 0 to 5.
Which of the following statements must be FALSE?
SELECT ALL THAT APPLY.
f(8) = 3
f(0) = 7
f(-1) = -8
f(0) = -5
f(10) = 2
f(1) = 2
f(0) = 0

Answers

I think that the correct answer is f(-1)=-8 and f(0)=-5
I hope this helps :D

t + –44 = –45 are equivalent to what ?

Answers

Answer:

-1

Step-by-step explanation:

What was the greatest impact farmers made in China

Answers

Answer:China made up $5.9 billion in U.S. farm product exports in 2018, according to the U.S. Census. It’s the world’s top buyer of soybeans and purchased roughly 60 percent of U.S. soybean exports last year.

Step-by-step explanation:

can any expert help me plzzzzzzzz..........​

Answers

Answer:

i=f

ii= 3-1/20

iii=3.43234

iv=a

v=12

Step-by-step explanation:

sarah works part time in a shop

Answers

There is no picture attached..

NEED HELP QUICK CAN SOMEONE PLEASE HELP WITH THIS!!!!!!

Answers

The answer would be D

write an equation of the line with the given information. m. 4. A(-1.-5)

Answers

Answer:

An equation of the line with the given information with

m = 4 and point A(-1, -5) is:

[tex]y=4x-1[/tex]

Step-by-step explanation:

As the equation of a line in point-slope form is given by:

[tex]y-y_1=m\left(y-x_1\right)[/tex]

where m is the slope.

Given:

the slope m = 4 the point A(-1, -5)

Substituting the values in the equation of a line in point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y\:-\:\left(-5\right)\:=\:4\:\left(x\:-\:\left(-1\right)\right)[/tex]

[tex]y+5=4\left(x+1\right)[/tex]

subtract 5 from both the sides

[tex]y+5-5=4\left(x+1\right)-5[/tex]

[tex]y=4x-1[/tex]

Therefore, an equation of the line with the given information

with m = 4 and point A(-1, -5) is:

[tex]y=4x-1[/tex]

During summer, the height of the water in a pool decreased by 2 inches each week due to evaporation. What is the change in the height of the water over an 8 week period??

Answers

Answer:

16in or 1ft 4in

Step-by-step explanation:

Factor the linear expression 15x-10 using the greatest common factor of the terms
A.5(3x + 2)
B.5(3x - 10)
C.5(3x- 2)
D.15(x- 2)​

Answers

Answer:

The answer would be A (3x+2).

Answer: 5(3x-2) - Choice [C]

Step-by-step explanation:

Hii, do you need to factor the expression 15x-10? Np! (:

Note that 15x and -10 have a 5 in common.

To factor it out, we divide 15x and -10 by 5

3x-2 is what we obtain

Next we put parentheses around 3x-2

(3x-2) is what we obtain.

Finally, we put 5 outside the parentheses

5(3x-2)

Voila! There's our answer, cheers! (:

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Hope that this helped! Best wishes.

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