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.

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.

abdullahm · Answer

Welcome to OpenStudy! @museee 

Do you know what the vertex form is?

anonymous · Answer

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

abdullahm · Answer

correct, where (h,k) is the vertex

abdullahm · Answer

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

anonymous · Answer

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

abdullahm · Answer

vertex is (0,0)

in the form of (h,k)

that means h=0 and k=0

abdullahm · Answer

so if we plug that into the vertex form we get:

$\sf\Large y=a(x-h)^2+k$
$\sf\Large y=a(x-0)^2+0$
$\sf\Large y=a(x)^2$

abdullahm · Answer

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