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At right is the graph of a function with tangent lines drawn at and . . Use the slopes provided in the graph to write the slope function . Also, write an equation for

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.

Upward parabola, vertex at the origin, with 4 highlighted points, each with line tangent to the curve at the point, & labeled as follows: at x = negative 2, label is m = negative 8, at x = negative 1, label is, m = negative 4, at x = 1, label is m = 4, at x = 2, label is m = 8.