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.