Find the equation for the parabola with the given vertex that passes through the given points.

Question

vertex (-4,2)
point (-3,0)

please show work!!!

Answer 1

You should be familiar with the vertex form of a parabola
y =a(x-p)^2 + q , with vertex (p,q)

so for yours, vertex is (-4,2) , so

y = a(x+4)^2 + 2
sub in (-3.0)
0 = a(1)^2 + 2
a = -2

y = -2(x+4)^2 + 2