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AlekseyPX
2 years ago
13

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

Mathematics
1 answer:
agasfer [191]2 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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