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The graph of g(x) is a reflection and translation of f(x) = 2x
Which equation represents g(x)?

2 Answers

3 votes

Answer:

The answer is C.

Explanation:

did the test

User Bkeepers
by
8.6k points
7 votes

Answer:

-2x -1 if f(x) is reflected along the x axis and translated 1 unit downward

Explanation:

A function can either be reflected along the x axis or along the y axis. If a function is reflected along the x axis, the new reflected equation g(x) is given by:

g(x) = -f(x) = -2x

g(x) = -2x

If a function is reflected along the y axis, the new reflected equation g(x) is given by:

g(x) = f(-x) = 2(-x)

g(x) = -2x

Translation means the shifting of the curve either up or down in a graph. If the reflected function is shifted 1 unit upward, the function becomes:

g(x) + 1 = -2x + 1

If the reflected function is shifted 1 unit downward, the function becomes:

g(x) - 1 = -2x - 1

User TheAhmad
by
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