Enter the function f (x) = x^2 - 7-18, in the form f (x) = a (x-h) ^2 + k, where a, h, k are constants

Question

Mathematics

Levy

25 October, 10:47

Enter the function f (x) = x^2 - 7-18, in the form f (x) = a (x-h) ^2 + k, where a, h, k are constants

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Amiyah Sandoval · Answer 1

f (x) = x² - 7x - 18

f (x) = a (x-h) ² + k

= a (x² - 2xh + h²) + k

= ax² - 2hx + h² + k

a = 1

-7x = - 2hx

7 = 2h

(7/2) = h

h² + k = - 18

(7/2) ² + k = - 18

(49/4) + k = - 18

k = - 18 - (49/4)

k = - 18 - 12,25

k = - 30,25