Question

If g(x) = 4(x - 2)2 - 4, complete the following statements.

The axis of symmetry of function f is x =
. The axis of symmetry of function g is x =

Answer 1

x = 10

Explanation:

Please, use " ^ " to denote exponentiation: g(x) = 4(x - 2)^2 - 4

The vertex is located at (2, -4) which numbers come directly from the '2' in (x - 2) and the "-4" at the end of the equation.

Where is the function f(x) that you mentioned?

The axis of symmetry here is the vertical line that passes through the vertex. Its equation is x = 10.

Answer 2

So x=2 is the axis of symmetry for function g

Explanation:

g(x) = 4(x - 2)^2 - 4

This is in the form

g(x) = a(x-h)^2 + k

Where (h,k) is the vertex

h is also the axis of symmetry

(2,-4) is the vertex

So x=2 is the axis of symmetry for function g