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):

$x = - 4$

g(x)

$x = 1$

Step-by-step explanation:

When a function is of the form:

$f(x) = a {(x - h)}^{2} + k$

The equation of the axis of symmetry is

$x = h$

The given function is

$f(x) = 3 {(x + 4)}^{2} + 1$

We can see that h=-4

Hence the equation of axis of symmetry is

$x = - 4$

From the graph, the axis of symmetry of h(x) is the vertical line that divides the parabola into two congruent halves.

This line is

$x = 1$