SOLUTION: Express f(x) in the form a(x − h)2 + k. f(x) = − 3 4 x2 + 15x − 77

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Question 840519: Express f(x) in the form a(x − h)2 + k.
f(x) = −
3
4
x2 + 15x − 77

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Is your equation f%28x%29=-%283%2F4%29x%5E2%2B15x-77??
You need to complete the square.
f%28x%29=-%283%2F4%29%28x%5E2-%284%2F3%2915x%5E2%29-77
f%28x%29=-%283%2F4%29%28x%5E2-20x%5E2%29-77
f%28x%29=-%283%2F4%29%28x%5E2-20x%5E2%2B100%29-77%2B%283%2F4%29%28100%29
f%28x%29=-%283%2F4%29%28x-10%29%5E2-77%2B75
highlight%28f%28x%29=-%283%2F4%29%28x-10%29%5E2%2B2%29