SOLUTION: f(x) = 5x^2 − 10x + 7 Rewrite the function in f(x) = a(x − h)2 + k form.

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Question 1141288: f(x) = 5x^2 − 10x + 7
Rewrite the function in
f(x) = a(x − h)2 + k
form.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=5%28x%5E2-2x%29%2B7
completethesquareusing 1.
5%28x%5E2-2x%2B1-1%29%2B7
5%28%28x-1%29%5E2-1%29%2B7
5%28x-1%29%5E2-5%2B7
highlight%285%28x-1%29%5E2%2B2%29

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) Factor the leading coefficient out of the x^2 and x terms to get x^2 by itself.
5%28x%5E2-2x%29%2B7

(2) Complete the square by adding 1 inside the parentheses; add the appropriate constant outside the parentheses to keep the expression balanced.
5%28x%5E2-2x%2B1%29%2B7-5

(3) Write the quadratic as the square of a binomial; combine constants.
5%28x-1%29%5E2%2B2