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.

Answer 1

Answer:

• f(x): x=4
• h(x): x=-2

Step-by-step explanation:

In each case, the axis of symmetry is the vertical line through the vertex.

For f(x)

The equation is in vertex form:

  f = a(x -h)² +k . . . . has vertex (h, k)

The x-coordinate of the vertex can be read from the equation: 4. The vertical line with that x-coordinate is ...

  x = 4

__

For h(x)

The vertex is the point where the graph reaches a maximum, (-2, 2). The vertical line with that x-coordinate is ...

  x = -2