The equation for the graph sketched below is 
The given graph is an exponential graph and the standard exponential graph is expressed as 
a is the y-intercept of the graph
(x, y) is any point on the graph.
Given the following from the graph;
a = -3
(x, y) = (1, 1)
Substitute the point and the y-intercept into the formula to have

Get the required exponential equation:
Recall that 

Hence the equation for the graph sketched below is 
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