# Fix two of the values for a,
b, and c. Make at least 5 graphs on the same axes as you vary
the third value. For example:

#### y=for
c=-4, -2, 0, 2, and 4.

I expect for this function to be a parabola,
and shifted up or down on the y-axis. Let's see!

####

I was right! As you can see the graph is in
the shape of a parabola, but shifted it is shifted up when the
value of c is positive and down when the value of c is negative.

#### y=for a=-4, -3, -2,
-1, 0, 1, 2, 3, and 4.

I expect for this to again be a parabola, but
for the width to vary, and for the parabola to flip upside down
when a is negative. Let's see!

This is not exactly as I expected. The parabolas
are changing in width, but they are also shifting along the line
y=x+2. Also, the line y=x+2 is one of functions for when a=2.

In general, when observing a function, if the
constant that you are varying is in front of an x, the graph will
vary in width, and if the constant that you are varying is added
to the function, the graph will shift up or down. Unless, of course
the function is linear. Then, if the constant is multiplied in
front of the x, then the slope changes, not the width.