How do you get this function: h(x) = −2(x − 2)^2 + 2, to turn into this function: h(x)−2x^2 + 8x − 6?
Show work please.
h(x) = -2(x - 2)2 + 2
h(x) = -2(x - 2)(x - 2) + 2
h(x) = -2(x2 - 2x - 2x + 4) + 2 [Use FOIL]
h(x) = -2(x2 - 4x + 4) + 2 [Simplify]
h(x) = -2x2 + 8x - 8 + 2 [Distribute the -2]
h(x) = -2x2 + 8x - 6 [Simplify]