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

completing the square method.

Question

Mathematics

Shayla Cole

27 June, 01:24

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

completing the square method.

+3

Answers (1)

Know the Answer?

Kenyon Meyers · Answer 1

-8

Step-by-step 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.

Find the maximum/minimum value of the quadratic function x2 + 10x + 17 = y bycompleting the square method.

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

completing the square method.