# How can you use transformations to graph this function? y=3.7^{-x}+2 Explain your steps

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## Question:

How can you use transformations to graph this function? y=3.7^{-x}+2 Explain your steps

Steps are explained in the explanation part and graph is attached below.

Step-by-step explanation:

We have to graph the function using the rule for transformation.

Let us suppose the parent function is . Below, is the graph of the parent function (fig 1)

When we add some constant ‘c’ in the function then the graph of the parent function shifts upward by ‘c’ units.

Hence, when we add 2 then the parent function will get shifted upward by 2 units. The graph of   is attached below (fig 2)

Finally, x is replaced by -x hence the graph is reflected about y axis.

In figure 3 the graph of the given function is shown.

From the answer and question examples above, hopefully, they might guide the student answer the question they had been looking for and observe of all the details stated in the answer above. You could simply then have a discussion with your classmate and continue the school learning by studying the problem to one another.

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