Question

3a. Convert the following function in standard form to vertex form by

completing the square
y = x^2+ 8x +17
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Answer 1

y = (x + 4)² + 1

Explanation:

Given

y = x² + 8x + 17

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 8x

y = x² + 2(4)x + 16 - 16 + 17

= (x + 4)² + 1 ← in vertex form