Question

The graph of function f is shown below.

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

The axis of symmetry of function f is x = (Q1)___. The axis of symmetry of function g is x =(Q2)___.

Answer 1

Explanation:

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

The axis of symmetry comes from that "(x - 2)." It is x = +2.

The axis of symm. of f(x) is discernable in the diagram; that axis of symmetry is x = -2.

Answer 2

The axis of symmetry of function f is x = -2 . The axis of symmetry of function g is x = 2

Explanation:

The graph of the function f is given below

Vertex of the graph of function f is (-2,7)

Axis of symmetry at x=-2

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

Vertex is (2,-4)

Axis of symmetry lies at the x coordinate of vertex

Axis of symmetry at x=2

The axis of symmetry of function f is x = -2 . The axis of symmetry of function g is x = 2