Draw accurate graphs of $y = 2x + 5$, $y = 2x^{2} + 5$, and $y = \frac { 1 } { 2 } x ^ { 2 } + 5$on the same set of axes. Label the intercepts.

1. In the equation $y = 2x + 5$, what does the $2$ tell you about the graph?

   Answer (a):

   The 2 is the slope of the line.

2. Is the $2$ in $y = 2x^{2} + 5$ also the slope? Explain.

   Hint (b):

   Does the graph show a constant rate of change from point to point?