If $f(x) = x^2 + x − 6$, then determine:

1. Where the graph of $f(x)$ intersects the $y$-axis.

   Hint (a):

   To find $y$-intercepts, substitute $0$ for $x$ and see what value is left.

   Answer (a):

   $(0, -6)$

2. Where the graph of $f(x)$ intersects the $x$-axis.

   Hint (b):

   Set the equation equal to $0$. Try factoring the equation to see the $x$-intercepts.

3. If $c(x) = 6$, what is $g(x) = f(x) + c(x)$?

   Answer (c):

   $g(x)=x^2+x$

4. Determine the $x$- and $y$-intercepts of $g(x)$ and then compare the graphs of $f(x)$ and $g(x)$.

   Hint (d):

   Again, find the $x$-intercepts of $g(x)$ and see how the graph compares.