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): x + 4 = 0

h(x): x = 1.

Step-by-step explanation:

The function f(x) = 3(x + 4)² + 1 ca be modified to  

Therefore, the function is an equation of parabola whose vertex is at (-4,1) and the axis is parallel to positive y-axis.

Therefore, the equation of the axis of the parabola is x = - 4

We know that a parabola is symmetric about its axis.

So, the function is symmetric about line x + 4 = 0. (Answer)

Now, the graph of the function h(x) also shows that it is a parabola having the vertex at (1,-3) and the axis is positive y-axis. Now, the equation of the axis line is x = 1.

Therefore, the function h(x) ia symmetric about line x = 1. (Answer)

step-by-step explanation:

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