# College Algebra

College Algebra

Show your work on all problems to get full credits. Submit the completed quiz in the assignment folder.

Total Points: 100

Due:June 18, 2017

1.a. Find the midpoint of the segment with endpoints (5, â€“2) and (7, 4).

b.The point (4, â€“1) is on a circle with center (7, 3). Find the length ofradius of the circle.

2. Simplify:

3.a. Find the slope-intercept equation for a line with slope 5 and which

passes through the point (1, â€“2).

b. Find the slope of the line through the points (8, 1) and (7, 3).

4.a. Solve:

b. Solve

5. Find the domain of the functions:

a.

b.

6. a. For the graph of the function f (x) = x^{2 }â€“ 5x + 6, find the vertex and the axis of symmetry.

b. One number is 2 more than another. The product of the numbers is 35.

Find the numbers.

7. A salesperson earns a base salary of $2,000 per month and a commission

of 5% on the amount of sales made. If the salesperson has a paycheck of

$3,006 for one month, what was the amount of sales for the month?

8. a. For x values in what interval (s) is the function increasing?

b. Determine whether the graph of y = 3 + x^{2} is symmetric with respect to

x-axis, y-axis, or the origin.

9. a. Find the zero of the function f(x) = 8 â€“ 2x

b. Write the equation for a function that has a graph with the given

properties.

The shape of y = |x| but stretched vertically by a factor of 2 and shifted right 3 units.

10.Find k so that the line containing the points (-3,k) and (4,8) is parallel to the line containing the points (5,3) and(1, -6).