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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