Answer:
y =(x+3) ^2
Step-by-step 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
