MS 100 College Algebra Spring 2006 Test Six Name:

1. Calculate (expand):

2. For f(x) = x² – x – 15.75

g(x) x + 15.75

Find the composition:

3. All about f(x) = x² – x – 15.75...

_____ a. What is the degree of the function f(x) = x² – x – 15.75?

_____ b. Is f(x) = x² – x – 15.75 an even or odd function?

_____ c. Does f(x) = x² – x – 15.75 open up or open down?

_____ d. What is the maximum number of zeros for f(x) = x² – x – 15.75?

_____ e. What is the name of the shape produced by f(x) = x² – x – 15.75?

_____ f. What is the y-intercept for y = x² – x – 15.75?

g. Solve x² – x – 15.75 = 0 by completing the square. Show your work.

h. Find the x-intercepts for f(x) = x² – x – 15.75

i. Use the formula to find the vertex (h, k) for
y = x² – x – 15.75

j. Use the formula (h, k+p) where to find the focus for
f(x) = x² – x – 15.75

k. Sketch a graph of f(x) = x² – x – 15.75:

4. Solve by completing the square x² – x + 16.5 = 0. Show your work.