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Below is the graph of a function with tangents drawn at , , , and . . Use the slopes provided in the graph to find the slope function . Also, find .

First make a prediction about the shape of the slope graph. The original graph is a parabola. What will the slope graph look like?

Next, make a table showing -values and their corresponding slopes. Be sure to include that when , the slope is (after all, look at the horizontal tangent line).

Use your table to find an equation of the slope function.