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) = −4(x − 8)2 + 3 graph of negative 1 times the quantity of x minus 3 squared, plus 2

Answer 1

The function f(x) is symmetric at x = 8 and the function h(x) is symmetric at x = 3.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Two functions are given below: f(x) and h(x).

f(x) = −4(x − 8)² + 3

h(x) = −1(x − 3)² + 2

The axis of the symmetry of the function f(x) will be

x - 8 = 0

    x = 8

The function f(x) is symmetric at x = 8.

Similarly, the axis of the symmetry of the function h(x) will be

x - 3 = 0

    x = 3

The function h(x) is symmetric at x = 3.

More about the function link is given below.

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