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): f(x) = 3(x + 4)2 + 1

h(x): graph

f(x): x = -4

h(x): x = 1

Step-by-step explanation:

Both functions represent parabolas. The axis of symmetry of parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola.

For f(x):

The equation of the parabola can be rewritten in the vertex form as

The vertex of this parabola is at point (-4,1), so the equation of the axis of symmetry is x = -4

For h(x):

From the graph, the vertex of this parabola is at point (1,-3), so the equation of the axis of symmetry is x = 1