Describe the transformation of the parent function f(x) = x^2 a. g(x) = -(x + 5)^2 + 2 b. h(x) = (x + 2)^2 - 7

g(x) is shifted left 5 units, shifted 2 units up, & reflected over the x-axis.

h(x) is shifted left 2 units and shifted 7 units down.

Step-by-step explanation:

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

f(x) = x²

g(x) = -(x + 5)² + 2

         a = -1     reflected over the x-axis

         h = -5    shifted left 5 units

         k = +2    shifted 2 units up

h(x) = (x + 2)² - 7

         a = 1     no change from f(x)

         h = -2    shifted left 2 units

         k = -7     shifted 7 units down

y-3=-3/2(x+4)

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