Question

Rewrite the function by completing the square f(x)=x ^2 +4x−60

Answer 1

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$\large\boxed{f(x) = (x + 2)^{2} - 64}$

f(x) = x² + 4x - 60

Rewrite:

0 = x² + 4x - 60

Complete the square by creating a perfect square trinomial. Make sure to add the third term to both sides:

0 + 4 = (x² + 4x + 4) - 60

Rewrite the trinomial as a square binomial:

4 = (x + 2)² - 60

Subtract 4 from both sides:

0 = (x +2)² - 64

Rewrite:

f(x) = (x + 2)² - 64