Write the equation of each parabola in vertex form
vertex: (-3, 7)
point: (-2, -5)

a) y = 2(x + 3)² - 7

             b) y = -2(x + 4)² + 6

             c) y = 3(x - 7)² + 4

Step-by-step explanation:

The vertex form of a quadratic equation is:  y = a(x - h)² + k     where

"a" is the vertical stretch

(h, k) is the vertex

(x, y) is any point on the curve

Input (h, k) and (x, y) to solve for "a"

a)  (h, k) = (-3, 7)   and   (x, y) = (-2, -5)

   -5 = a(-2 + 3)² - 7

    2 = a(1)²

    2 = a

               y = 2(x + 3)² - 7

b)  (h, k) = (1, 3)   and   (x, y) = (2, 5)

   5 = a(2 - 1)² + 3

    2 = a(1)²

    2 = a

               y = 2(x - 1)² + 3

c)  (h, k) = (-4, 6)   and   (x, y) = (-2, -2)

   -2 = a(-2 + 4)² + 6

   -8 = a(2)²

   -8 = 4a

   -2 = a

               y = -2(x + 4)² + 6

d)  (h, k) = (7, 4)   and   (x, y) = (5, 16)

   16 = a(5 - 7)² + 4

   12 = a(-2)²

    12 = 4a

     3 = a

               y = 3(x - 7)² + 4

Step-by-step explanation:

Hope this helps:)