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?

x = –3
x = –2
x = 2
x = 3

Answer 1

Hello,
Answer x=2 (x=h in vertex form y=a(x-h)²+k )

Answer 2

x = 2

Explanation:

The vertex form of the parabola is given by
`f(x)=(x-2)^2+3`

Comparing this equation with vertex form of a parabola
`y=a(x-h)^2+k`, where (h,k) is the vertex

h = 2

k = 3

Hence, vertex is (2,3)

Now, axis of symmetry of a parabola passes through the vertex and divide the parabola in two equal halves.

Hence, axis of symmetry of the parabola is given by

x = h

x = 2

Third option is correct.