### Home > APCALC > Chapter 3 > Lesson 3.2.1 > Problem 3-45

3-45.

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*

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