Question

How do you write `f(x) = 4x^2 +28x +45` in vertex form?

Answer 1

`f(x)=4(x+7/2)^2-4`

Explanation:

`f(x)=4x^2+28x+45 or f(x)=4(x^2+7x+(7/2)^2)-49+45 or f(x)=4(x+7/2)^2-4` Here vertex is at `(-7/2,-4)` graph{(x+7/2)^2-4 [-10, 10, -5, 5]} [ans]