Question

What are the coordinates of the vertex for f(x) = x2 + 4x + 10?

A- (−2, 2)
B- (2, 2)
C- (−2, 6)
D- (2, 6)

Answer 1

`\\ \rm\rightarrowtail y=x^2+4x+10`

• Add and subtract 4

`\\ \rm\rightarrowtail y=x^2+4x+4+10-4`

`\\ \rm\rightarrowtail y=x^2+4x+2^2+6`

`\\ \rm\rightarrowtail y=(x+2)^2+6`

Vertex form

• y=a(x-h)^2+k

Vertex:-

• (h,k)=(-2,6)

Answer 2

I believe the answer is C (-2,6)