Question

Which graph represents a reflection across the x-axis of g(x) = Three-fourths(3)x?

Answer 1

Using translation concepts, the graph that represents a reflection across the x-axis of $g(x) = \frac{3}{4}(3)^x$ is:

On a coordinate plane, an exponential function approaches y = 0 in quadrant 4. The function comes up from quadrant 3 and increases into quadrant 4. It goes through (negative 2, negative 5), (0, negative 3), and (4, negative 1).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

A reflection across the x-axis of g(x) means that:

f(x) = -g(x).

g(x) increases from the second quadrant into the first, hence for f(x) it will be from quadrant 3 into quadrant 4.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1