Question

Given the functions f(x) = 4x2 - 1, g(x) = x2 - 8x + 5, and h(x) = -3x2 - 12x + 1, rank them from least to greatest based on their axis of symmetry.

Answer 1

• h(x), f(x), g(x)

Explanation:

Given

The functions

• f(x) = 4x² - 1
• g(x) = x² - 8x + 5
• h(x) = -3x² - 12x + 1

To find

• Rank by value of axis of symmetry in ascending order

Solution

Axis of symmetry is defined by x- value of the vertex which is calculated by a formula -b/2a

• f(x) → 0/2*4= 0
• g(x) → - (-8)/2 = 4
• h(x) → -(-12)/2(-3) = -2

Ranking in ascending order is

• h(x), f(x), g(x)