Question

Rewrite the function by completing the square. f(x) = x2 - 8x + 7

Answer 1

The function f(x) = x2 - 8x + 7 rewritten by completing the square is x² - 8x  + 16 = 9.

Rewrite the function by completing the square?

Given the function; f(x) = x² - 8x + 7

To rewrite by completing the square.

We simplify the function into a proper form to completing the square.

x² - 8x + 7 = 0

x² - 8x = -7

We create a trinomial square on the left side of the equation that is equal to the square of the half of b.

(b/2)² = (-4)²

Next, we add the term to both side of the equation.

x² - 8x + (-4)² = -7 + (-4)²

x² - 8x  + 16 = 9

Therefore, the function f(x) = x2 - 8x + 7 rewritten by completing the square is x² - 8x  + 16 = 9.

Learn more about completing the square method here: brainly.com/question/12356597

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