Y- intercept = (4) (2) (-1) (-3)

= 24 with coordinates (0,24)

The equation is a 4th degree polynomial, the leading term is x^4.

So the graph has 3 turns, One maximum and two minimum.

Plot the roots: -4 with coordinates (-4,0)

-2 with coordinates (-2,0)

1 with coordinates (1,0)

3 with coordinates (3,0)

Now, for the solutions of vertices minimum and maximum, these are the results (it's a long process, two pages)

The maximum is (-1/2, 441/16 or 27-9/16)) (above x axis)

The first minimum has coordinates ( __-1-√29__ , -25) (left of y axis, below x-axis)

2

The second minimum has coordinates (__√29-1__, -25) (right of y axis,below x-axis)

To graph:

1. From (-4,0) go down to the first minimum, then turn going up passing through (-2,0) up to maximum (-1/2, 27-9/16).

2. From the maximum, pass through (1,0) to the second minimum.

3. From second minimum, go up passing through (3,0)

Please try:-)