Question

Write the vertex form of the equation of the parabola which has a vertex of (0, 0) and contains the point (2, –2).

help please.

Answer 1

Welcome to OpenStudy! @museee

Do you know what the vertex form is?

Answer 2

thank you . and its a(x-h)^2+k, right ?

Answer 3

correct, where (h,k) is the vertex

Answer 4

So first of all, lets plug in the vertex into this equation. :)

Answer 5

but how do i find that ? im sorry im really terrible at math

Answer 6

vertex is (0,0)

in the form of (h,k)

that means h=0 and k=0

Answer 7

so if we plug that into the vertex form we get:

\(\sf\Large y=a(x-h)^2+k\)
\(\sf\Large y=a(x-0)^2+0\)
\(\sf\Large y=a(x)^2\)

Answer 8

Now plug in the points (2,-2) to solve for 'a'