Download NAME College Algebra – Quiz 6 Sections 2.2 and 2.3 Directions

NAME _______________
College Algebra – Quiz 6
Sections 2.2 and 2.3
Directions: Show all work and write your final answer in the space provided.
1.
Write the equation of the circle with center at (-3, 4) and radius 6.
1. _______________
2.
Find the y-intercept of the graph of 3x – 5y = -8.
2. _______________
3.
Graph: (x – 2)2 + (y + 1)2 = 16
4.
Find the x-intercepts of the graph of y = 3x3 – 9x2 – 12x.
4. _______________
5.
Find the y-intercepts of the graph of 3(x + 1)2 + 3(y – 1)2 = 6.
5. _______________
6.
Find the center and radius of the circle x2 + y2 + 4x + 2y – 20 = 0.
center = __________
radius = __________
7.
Find the equation of the circle with center at (1, 0) which contains the point (-2, 3).
8.
Find the y-intercepts of the graph of y 
3
.
2x  5
7. _______________
8. _______________
9.
Find the x-intercepts of the graph of 3(x + 1)2 + 3(y – 1)2 = 6.
10. Find the equation of the circle with endpoints of a diameter at the points (4, 3)
and (0, 1).
9. _______________
10. _______________
11. Graph: y  x  2
12. Find the center and radius of the circle x2 + y2 – 6x + 2y + 9 = 0.
center = __________
radius = __________
13. Find the x-intercepts of the graph of y 
3
.
2x  5
14. Find the center and radius of the circle 2x2 + 2y2 + 8x + 7 = 0.
13. _______________
center = __________
radius = __________
15. Find the y-intercepts of the graph of y2 – x – 4 = 0.
15. _______________