suppose a parabola has vertex47 and also passes through the

suppose a parabola has vertex(-4,7) and also passes through the point (-3,8). What is the equation of the parabola in vertex form?
possible answers are in photo.

ys(x+4)2+7 Oy = 2(x+4)2 +7 Oy=2(x+3°+8 y= (x-4)2 +7 78 87 +7 43 (22 yyyy 0000

Solution

vertex(-4,7) and also passes through the point (-3,8)

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

y = a(x +4)^2 + 7

passes through ( -3 , 8) : 8 = a(-3 +4)^2 +7

8 = a*1 +7

a = 1

y = (x +4)^2 + 7

Option 1