Question

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

Answer 1

Answer:

g(x) = −4(one-half) Superscript x

Step-by-step explanation:

We want to reflex the function: f(x) = 4(1/2)^x across x-axis.

Reflection across x-axis is obtained multiplying parent function by minus one.

Therefore, the reflection of the function is: -f(x) = -4(1/2)^x = g(x)

Answer 2

Answer:

g(x) = 0.5(4)–x

g(x) = One-half (one-fourth)x

B&D

Step-by-step explanation: