2. Section 10.1 – The Circle

3. Write the standard form of each equation. Then graph the equation.
center (0, 3) and radius 2
h = 0, k = 3, r = 2

4. Write the standard form of each equation. Then graph the equation.
center (-1, -5) and radius 3
h = -1, k = -5, r = 3

5. Write the standard form of each equation. Then graph the equation.

6. Write the standard form of each equation. Then graph the equation.

7. Write the standard form of each equation. Then graph the equation.

11. Find the equation of the circle with center (8, -9) and passes
through the point (21, 22).

12. Find the equation of the circle with center (-13, 42) and passes
through the origin

13. Find the equation of the circle whose endpoints of a diameter
are (11, 18) and (-13, -20)
Center is the midpoint of the diameter
Radius uses distance formula

14. Find the equation of the circle tangent to the y-axis and
center of (-8, -7).
r = 8 C

15. Find the equation of the circle whose center is in the first
quadrant, and is tangent to x = -3, x = -5, and the x-axis
r = 4 x x

16. Section 10.2 – The Parabola
Opens Left/Right
Opens Up/Down
Vertex: (h, k)
Vertex: (h, k)
Focus:
Focus:
Directrix:
Directrix:
Axis of Sym:
Axis of Sym:

17. F 2p p 2p V p
Directrix

18. Directrix 2p F p V p 2p

19. Given the equation
a) Write the equation in standard form
b) Provide the appropriate
information.
Focus: (0, 2)
Vertex: (0, 0)
Directrix: y = -2
Axis of Sym: x = 0 F
c) Graph the equation V

20. Given the equation
a) Write the equation in standard form

21. Given the equation
a) Write the equation in standard form
b) Provide the appropriate
information.
Focus: (4, 2)
Vertex: (2, 2)
Directrix: x = 0
Axis of Sym: y = 2 F V
c) Graph the equation

22. Given the equation
a) Write the equation in standard form

23. Given the equation
a) Write the equation in standard form
b) Provide the appropriate
information. V
Focus: (3, 0)
Vertex: (3, 2)
Directrix: y = 4
Axis of Sym: x = 3 F
c) Graph the equation

24. Write the equation of the parabola with focus at (2, 2)
and directrix x = 4 F V

25. Write the equation of the parabola with V(-1, -3) and F(-1, -6)

26. Write the equation of the parabola with axis of symmetry y = 2,
directrix x = 4, and p = -3 F V

27. Section 10.3 – The Ellipse
a > b
a – semi-major axis
b – semi-minor axis
C(h, k)
V1(h + a, k), V2(h – a, k)
F1(h + c, k), F2(h – c, k)
C(h, k)
V1(h, k + a), V2(h, k – a)
F1(h, k + c), F2(h, k – c)

28. V1 V2 a F1 F2 c b C
C(1, 4)
V(1, -1), (1, 9)
F(1, 0), (1, 8)

29. b c c V1 V2 a F1 F2 C
C(-1, -2)
V(-9, -2), (8, -2)
F(-6.7, -2), (4.7, -2)

30. V1 V2 F1 F2 C
C(0, 0)
V(-4, 0), (4, 0)
F(-2.6, 0), (2.6, 0)

33. Now graph it………

34. V1 V2 F1 F2 C
C(-3, 1)
V(-7, 1), (1, 1)
F(-5, -1), (-1, 1)

35. Find the equation of the ellipse whose center is at (2, -2), vertex
at (7, -2) and focus at (4, -2).
C(2, -2)
a = 5
c = 2 C F V

36. Find the equation of the ellipse with vertices at (4, 3) and (4, 9) ,
and focus at (4, 8)
C(4, 6)
a = 3
c = 2 V F C V

37. Find the equation of the ellipse whose foci are (5, 1) and (-1, 1),
and length of the major axis is 8
C(2, 1)
c = 3
Major is 8
Semi-major is 4
a = 4 F C F