Question

A parabola opens upward. The parabola goes through the point (3, -1), and the vertex is at (2, -2).What are the values of h and v

Answer 1

hi, what have you done so far?

Answer 2

i havent

Answer 3

alright lets start this

Answer 4

ok im ready lol

Answer 5

do you know the general equation of the parabola ?

Answer 6

no but i can find out

Answer 7

http://prntscr.com/6xudaw

Answer 8

have a look at this picture and tell me if you understand it or not

Answer 9

ok so the points are at the bottom

Answer 10

so how would you calculate the cords i have into the problem

Answer 11

so i am not sure what your teacher told you regarding the value of v. what does v stand for do you know ?

Answer 12

vertex i believe

Answer 13

Standard Form Equation of a Parabola That Opens Upward
y = a(x - h)2 + v
(h, v) = vertex of parabola

Answer 14

alright. so in that case the vertex in your equation (2, -2) is your h, k value

Answer 15

how did you get that?

Answer 16

but sign of h will change. -2 = h and -2 = v

Answer 17

ok

Answer 18

how

Answer 19

the vertex of your parabola is the value of h and k

Answer 20

in the question it says that the vertex of the parabola is (2, -2)

Answer 21

ok i see could you help me with one other thing

Answer 22

and your saying h=-2

Answer 23

and v=-2

Answer 24

yes, the sign changes for h value. if it is positive it becomes negative, and vice versa

Answer 25

ok could you help me with one more thing

Answer 26

sure

Answer 27

To find the value of a, subtract the y-coordinate of the vertex from the y-coordinate of the point on the parabola that is 1 unit to the right of the vertex.

Find the value of a for the parabola in Part I. Show your work.

Answer 28

i love to do math on friday night, while the rest of the peep are busy partying lol

Answer 29

where are you from

Answer 30

toronto

Answer 31

cool

Answer 32

alright whats the next question

Answer 33

To find the value of a, subtract the y-coordinate of the vertex from the y-coordinate of the point on the parabola that is 1 unit to the right of the vertex.

Find the value of a for the parabola in Part I. Show your work.

Answer 34

hmmm interesting

Answer 35

lol

Answer 36

so the vertex is (2, -2)
the y co-ordinate of the vertex is -2