Question

If you could please kindly help :D

Answer 1

y = -1/2 ( x − 4 )^2 + 8

Explanation:

First find the vertex form

y = a ( x − h )^ 2 + k where ( h,k) is the vertex

The vertex is ( 4,8)

y = a ( x − 4 )^2 + 8

Now we need to determine a

Pick a point on the graph (0,0)

and substitute this point into the equation

0 = a ( 0 − 4 )^2 + 8

0 = a (16) +8

-8 = 16a

-8/16 =a

-1/2

y = -1/2 ( x − 4 )^2 + 8