Question

Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function and rank the functions based on their axis of symmetry (from smallest to largest).

Answer 1

three functions are
f(x) = 3(x + 4)^2 + 1
g(x) = 2x^2 - 16x + 15
h(x) = a(x - 1) - 3
Axis of symmetry for f(x) is x=-4 For g(x)
by taking the derivative
g'(x) = 4x - 16
= 4(x - 4)
Axis of symmetry for g(x) is x=4
Axis of symmetry for h(x) is x=1
hope it helps