Question

Write the function f (x) = 22 - 4x - 7 in vertex form.
Show your work.

Answer 1

`\boxed{\bold{\,f(x)=2(x-1)^2-9\,}}`

Explanation:

`f(x)=2x^2-4x-7\\\\f(x)=2(x^2-2x-3.5)\\\\f(x)=2(\underline{x^2-2x+1^2}-1^2-3.5)\\\\f(x)=2\big((x-1)^2-4.5\big)\\\\f(x)=2(x-1)^2-9`

Vertex: (1, -9)