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12-06-2020
Mathematics

contestada

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

Respuesta :

MathPhys MathPhys

12-06-2020

Answer:

-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.

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