30 Use the method of completing the square to determine the vertex of f(x) = x² - 14x - 15.

Mathematics

1 answer:

agasfer [191]3 years ago

5 0

Answer:

<h2>x² - 14x - 15 = (x − 7)² − 64</h2><h2>Then the coordinates of the vertex are (7 , -64)</h2>

Step-by-step explanation:

x² - 14x - 15 = x² - 14x + (49 - 49) - 15

= (x² - 14x + 49) - 49 - 15

= (x² - 14x + 7²) - 49 - 15

= (x − 7)² − (49 + 15)

= (x − 7)² − 64

x² - 14x - 15 = (x − 7)² − 64

Then the coordinates of the vertex are (7 , -64)

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