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

The function that represents g(x), a reflection of f(x) = 4(one-half) Superscript x across the x-axis is g(x) = 4(1/2)^-x

Reflection of coordinates

Reflection occur when similar images acts as mirror images.

Given the function that represents f(x) as;

f(x) = 4(1/2)^x

If the function is reflected across the x-axis to produce the function g(x) is expressed as:

g(x) = 4(1/2)^-x

Hence the function that represents g(x), a reflection of f(x) = 4(one-half) Superscript x across the x-axis is g(x) = 4(1/2)^-x

Learn more on reflection here:https://brainly.com/question/26642069

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