Given the functions f (x) = 4x^2-1, g (x) = x^2-8x+5, and h (x) = - 3x^2-12x + 1, rank them from least to greatest based on their axis of symmetry

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Mathematics

10 August, 04:55

Given the functions f (x) = 4x^2-1, g (x) = x^2-8x+5, and h (x) = - 3x^2-12x + 1, rank them from least to greatest based on their axis of symmetry

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Ryder Chang · Answer 1

The formula for axis of symmetry is - b/2a.

For f (x):

0/2 (4)

0/8

Axis of symmetry = 0

For g (x)

- (-8) / 2 (1)

8/2

Axis of symmetry = 4

For h (x)

- (-12) / 2 (-3)

12/-6

Axis of symmetry = - 2

Order from least to greatest: - 2, 0, 4

Final answer: h (x), f (x), g (x)