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netineya [11]
3 years ago
13

What does the quadratic function y=x2−10x+9 look like when rewritten in the form f(x)= a(x-h)^2 +k?

Mathematics
2 answers:
Natasha2012 [34]3 years ago
6 0

y=x^2-10x+9\\\\y=x^2-10x+25-16\\\\y=(x-5)^2-16

loris [4]3 years ago
3 0

We must use

(a-b)^2=a^2-2ab+b^2\qquad(*)

We have:

y=x^2-10x+9=x^2-2(x)(5)+9=\underbrace{x^2-2(x)(5)+5^2}_{(*)}-5^2+9\\\\=(x-5)^2-25+9=\boxed{(x-5)^2-16}


a=1,\ h=5,\ k=-16

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