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The graph of a translated exponential function is shown below. Its parent function is y = 4x.

If the graph is asymptotic to y = -3 and contains the points (2, -2) and (3, 1), what is the equation of the function?

The graph of a translated exponential function is shown below. Its parent function is y = 4x. If the graph is asymptotic to y = -3 and contains the points (2, - class=

Answer :

sqdancefan
The function has been translated down 3 units and right 2 units. The equation of the graphed function is
.. y = -3 +4^(x -2)
${teks-lihat-gambar} sqdancefan
MrRoyal

The equation of the graph is [tex]y = -3 +4^{x -2[/tex]

How to determine the equation of the function?

The parent function is given as:

[tex]y = 4^x[/tex]

From the graph, we can see that the function is translated 3 units down and  2 units right.

This means that the transformation rule

(x, y) -> (x - 2, y - 3)

So, we have:

[tex]y = -3 +4^{x -2[/tex]

Hence, the equation of the graph is [tex]y = -3 +4^{x -2[/tex]

Read more about exponential functions at:

https://brainly.com/question/11464095

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