MS 100 College Algebra test five • Name:

1. _______________ What is the name of the shape seen on the graph below?

SVG xy scatter graph major grid lines axes x-axis and y-axis coordinate labels for the rectangles above (−40,0) (−4,45) (32,0) Quadratic line data points as circles text layers Quadratic curve x axis value labels y-axis value labels y-axis labels -5 0 5 10 15 20 25 30 35 40 45 x-axis labels -50 -40 -30 -20 -10 0 10 20 30 40 50

Data table for the above graph

coordinatexy
x-intercept−40.00.0
vertex−4.045.0
x-intercept32.00.0

2. Find a, b, and c in the y = ax² + bx + c form of the equation for the graph above. The coordinates for both x-intercepts and the vertex are depicted on the graph.

a = __________

b = __________

c = __________

3. y = ___________ Find the y-intercept for the graph depicted above.

4. Use a Qalculate! to help you sketch a graph of the following function over the domain −5.1 ≤ x ≤ 5.1. Sketch the graph on your paper.
f(x) = x 6 - 34 x 4 + 225 x 2

5. _________ Is the equation in question four a function?

6. _________ What is the degree of the equation in question four?

7. _________ How many zeros are there for the equation in question four?

8. Use polynomial division to divide the equation in question four by (x+3)

MS 100 College Algebra • MS 150 Statistics • Courses • COMFSM