Download 4.1-4.2 Review Homework 4.1 - Circles 4.2

4.1-4.2 Review Homework
Algebra 2
Name: __________________________________________________________ Date: ___________________________ Hour: _______
4.1 - Circles
Use the information provided to write the standard form equation of each circle.
1. center (-4, 7), radius 8
2. Center (-3, -1), radius 4
3. center (-16, -14), point on circle (-6, -19)
4. Center (13, 5), point on circle (18, 4)
Identify the center and radius of each circle. Then graph.
5. x2 + y2 – 4x + 24y + 112 = 0
6. 2x2 + 2y2 - 16x - 4y + 22= 0
y
y
x
x
4.2 - Parabolas
Write the equation for each parabola. Then graph the parabola, the focus, and the directrix.
7. Focus (-5, 0), directrix: x = 5
8. Focus (0, - 3), directrix: y =3
y
x
y
x
Write the equation for each parabola. Then graph the parabola, the focus, and the directrix.
9. Focus (3, -4), directrix y = 2
10. Focus (2, -3), Vertex (-1, -3)
y
y
x
x
Convert the equation to the standard form of a parabola. Then graph the parabola, the focus, and the directrix.
11. x2 - 6x + y + 11 = 0
12. y2 + x + 10y + 28 = 0
y
y
x
x