Question

Given the functions flx) = 3x2, g(x) = x2 - 4x + 5, and h(x) = -2x2 + 4x + 1, rank them from leasrto greatest based on their axis of symmetry.

Answer 1

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Answer:

f(x), h(x), g(x)

Explanation:

For a quadratic in standard form, ...

ax² +bx +c

the axis of symmetry is ...

x = -b/(2a)

For the various functions, the axes of symmetry are ...

f(x): x = 0/(2·3) = 0

g(x): x = -(-4)/(2·1) = 2

h(x): x = (-4)/(2(-2)) = 1

From least to greatest axis of symmetry the functions are ...

f(x), h(x), g(x)