If $p(x)=x^2+5x-6$:

1. Where does the graph of $y=p(x)$ intersect the $y$-axis?

   Hint (a):

   Substitute $0$ for $x$, and solve for $p(x)$.

   Answer (a):

   $(0,-6)$

2. Where does the graph of $y=p(x)$ intersect the $x$-axis?

   Hint (b):

   Substitute $0$ for $p(x)$, and solve for $x$.

   More Help (b):

   You can factor and use the Zero Product Property once you write your equation.

   Answer (b):

   $(-6,0)$ and $(1,0)$

3. If $q(x)=x^2+5x$, what are the intercepts of the graph of $y=q(x)$?

   Hint (c):

   Look at parts (a) and (b) to help find the intercepts.
   What do you notice about the equations? Are they related?

   Answer (c):

   $x$-intercepts: $(0,0)$, $(-5,0)$
   $y$-intercept: $(0,0)$

4. Compare the graphs of $p(x)$ and $q(x)$.

   Answer (d):

   The graph of $p(x)$ is $6$ units lower than the graph of $q(x)$.

5. What is $p(x)-q(x)$?

   Hint (e):

   Subtract $q(x)$ from $p(x)$. How does your answer relate to part (d)?