Question

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) f(x) = −2(x − 4)2 + 2

Answer 1

Answer:

Axis of symmetry for the functions f(x) and h(x) are x = 4 and x = -2 respectively.

Step-by-step explanation:

Function f(x) = -2(x - 4)² + 2

Vertex of the graph → (4, 2)

Since line of symmetry of the graph is defined by the x-coordinate of the vertex.

Therefore, x = 4 will be the line of symmetry of the function 'f'.

Second function 'h' has been given in the graph.

Vertex of the function from the graph → (-2, 2)

Therefore, line of symmetry will be x = -2