Question

Has a base of 3, is reflected over the y-axis, has a horizontal shift right by 5 and an asymptote of y=-3

Answer 1

The equation of the exponential function is $y = 3^{-x -5} - 3$

How to determine the equation?

An exponential equation is represented as:

y = b^x

Where b represents the base.

The base is 3.

So, we have:

$y = 3^x$

When reflected over the y-axis, we have:

$y = 3^{-x$

When shifted right by 5 units, we have:

$y = 3^{-x -5$

Lastly, the function has an asymptote of y=-3

So, we have:

$y = 3^{-x -5} - 3$

Hence, the equation of the exponential function is $y = 3^{-x -5} - 3$

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