Question

vertex (-2,2) point (-4,-10)

Answer 1

vertex form is
y=a(x-h)²+k
vertex is (h,k)
to solve
input the given vertex and then the given point, solve for a


vertex at (-2,2) and a point is (-4,-10)

y=a(x-(-2))²+2
y=a(x+2)²+2
put point (-4,-10)
-10=a(-4+2)²+2
-10=a(-2)²+2
-10=4a+2
-12=4a
-3=a


y=-3(x+2)²+2