Answer:
f(x) = - 2(x + 1)² + 13
Explanation:
f(x) = - 2x² - 4x + 11
f(x) = a(x - h)² + k
a = - 2, b = - 4, c = 11
h = -
h = - = - 1
k = - 2( - 1)² - 4( - 1) + 11 = 13
f(x) = -2x^2-4x+11
y = -2(x+1)²+13
Use the vertex form, y=a(x−h)²+k, to determine the values of a, h, and k.
a= -2
h= 1
k= 13
Final answer is, f(x) = -2(x - 1)² + 13
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