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The function g(x)=8(4x) is reflected across the x-axis to create f(x).

On a coordinate plane, 2 exponential functions are shown. Function f (x) approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 8). Function g (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 8).

What is the equation of f(x)?

f(x)=8(4)x
f(x)=−8(4)x
f(x)=8
f(x)=−8

Respuesta :

Answer:

[tex]f(x)=-8(4^x)[/tex]

Step-by-step explanation:

Base on the description, the function is an exponential function.

The given function is [tex]g(x)=8(4^x)[/tex].

When this function is reflected in the x-axis, we negate the y-coordinates, that is the whole function.

Therefore [tex]f(x)=-g(x)[/tex]

This implies that:

[tex]f(x)=-8(4^x)[/tex]

Answer:

It’s B if you dont want to read all that.

Step-by-step explanation: