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Which of the following explains how to obtain the graph of y=3exy=3−ex from the graph of y=exy=ex?

(a) Reflect the graph of y=exy=ex about the yy-axis and then shift this result up 3 unit.
(b) Reflect the graph of y=exy=ex about the yy-axis and then shift this result to the right 3 units.
(c) Reflect the graph of y=exy=ex about the xx-axis and then shift this result up 3 unit.
(d) Reflect the graph of y=exy=ex about the xx-axis and then shift this result to the right 3 units.

 

Starting with the graph of y=3xy=3x, write the equation of the graph that results from

(a) shifting 2 units downward
(b) shifting 2 units to the right
(c) reflecting about the xx-axis
(d) reflecting about the yy-axis
(e) reflecting about the xx-axis and then about the yy-axis.

Find the exponential function f(x)=Caxf(x)=Cax whose graph is given below.

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