Question

Write y=x^2-18x+83 in vertex form. Then identify the vertex.​

Answer 1

Answer:

             $\boxed{\bold{f(x)=(x-9)^2+2}}$

Step-by-step explanation:

$f(x)=a(x-h)^2+k\qquad\qquad h=\dfrac{-b}{2a}\,,\ \ k=f(h)\\\\\\f(x)=x^2-18x+83\quad\implies\quad a=1\,,\ b=-18\\\\h=\dfrac{-(-18)}{2\cdot1}=\dfrac{18}{2}=9\\\\h=f(3)=9^2-18(9)+83=81-162+83=2\\\\\\ \underline{f(x)=(x-9)^2+2}$