Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it. f(x) h(x)

Answer:

The x-coordinates of symmetry for f(x) and h(x) are x = 4 and x = -2 respectively.

Step-by-step explanation:

For f(x), we have the equation f(x) = -2(x - 4)² + 2

The vertex of this function is located at (4, 2).

The line of symmetry for this graph corresponds to the x-coordinate of the vertex.

Thus, for function 'f', the line of symmetry is established at x = 4.

As for the second function 'h', which is depicted in the graph,

its vertex can be identified from the graph as (-2, 2).

Hence, the line of symmetry for this function will be x = -2.