Question

F(x)=x^2-10x+1 in the form a(x-h)^2+k

Answer 1

`\displaystyle{f(x)=(x-5)^2-24}`

Explanation:

Given the function:

`\displaystyle{f(x)=x^2-10x+1}`

Separate 1 out of the terms:

`\displaystyle{f(x)=(x^2-10x)+1}`

Convert parentheses-terms to perfect square:

`\displaystyle{f(x)=(x^2-10x+25)+1-25}`

Evaluate and/or simplify:

`\displaystyle{f(x)=(x-5)^2-24}`