Question

Find the equation of the graphed function.
f(x)= _________​

Answer 1

y =(x+3) ^2

Explanation:

The zero is -3 and it is the vertex (-3,0)

Using the vertex form of a parabola where ( h,k) is the vertex

y = a( x-h)^2 +k

y =a(x- -3) ^2+0

y =a(x+3) ^2

We also know another point is ( -1,4)

Substituting that point into the equation

4 = a( -1+3) ^2

4 = a( 2)^2

4 = a*4

Divide each side by 4

1 =a

The equation is

y =(x+3) ^2