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On a coordinate plane, 2 exponential functions are shown. f (x) decreases from quadrant 2 to quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 4) and goes through (1, 2). g (x) increases from quadrant 3 into quadrant 4 and approaches y = 0. It crosses the y-axis at (0, negative 4) and goes through (1, negative 2).

Which function represents g(x), a reflection of f(x) = 4(one-half) Superscript x across the x-axis?

g(x) = −4(2)x
g(x) = 4(2)−x
g(x) = −4(one-half) Superscript x
g(x) = 4(one-half) Superscript negative x

2 Answers

1 vote

Answer:
-4\left((1)/(2) \right)^(x)

Explanation:

To reflect the graph of a function across the x-axis,


y=f(x) \longrightarrow y=-f(x)

User Bugs
by
7.6k points
10 votes

Answer:

c

Explanation:

User Auzias
by
7.5k points

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