Question

The function f(x) = 7 – 4x + x2 written in vertex form is f(x) = (x – 2)2 + 3. What is the axis of symmetry for the function?

Answer 1

Hello,

f(x)=x²-4x+7=x²-4x+4+3=(x-2)²+3

Axe of symmetry is x=2 passing throught the vertex.

Answer 2

Explanation:

The vertex form of the equation is f(x) = (x-2)² + 3

Since in the vertex form of the parabola standard form of the equation should be f (x) = ( x-h )² + k

Where ( h, k) is the vertex

By comparing the standard equation of parabola with the given function.

vertex will be (2, +3)

and line of symmetry will be x = 2 passing through vertex.