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
Mathematics · Middle School · Tue Nov 03 2020
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Correct question the function f(x)=x^2 -7x-18…..(1), in the form f(x)= a(x-h)^2 +k, where a, h, and k are constants
Solution By simply the equation
f(x)= a(x-h)^2 +k
f(x)= a(x^2+h^2-2xh) +k
f(x)=x^2+h^2-2xh+k, where (a=1).by compare equation(1)
By doing comparison
x^2+h^2-2xh+k = x^2 -7x-18
2xh=7x
h= 7/2
Constant part
h^2+k=-18
(7/2)^2+k= -18
k= -18-(49/4)
k=-18-12.25
k=30.25 answer