Question

How do you write `f(x) = x^2 + 7x + 2` in vertex form?

Answer 1

In vertex form: `f(x)=(x+3.5)^2 -10.25`

Explanation:

`f(x)= x^2+7x+2 or f(x)= (x+7/2)^2 -49/4+2 orf(x)= (x+7/2)^2 -41/4`

Comparing with standard equation `f(x)=a(x-h)^2+k`, where `(h,k)` is vertex.

Vertex is at `(-7/2 , -41/4) or (-3.5 , -10.25)`

In vertex form: `f(x)=(x+3.5)^2 -10.25` [Ans]