Question

Find the maximum/minimum value of the quadratic function x2 + 10x + 17 = y by

completing the square method.

Answer 1

-8

Explanation:

y = x² + 10x + 17

Complete the square. (10/2)² = 25

y = x² + 10x + 25 − 8

y = (x + 5)² − 8

This is an upward parabola with a vertex at (-5, -8). So the minimum is y = -8.