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- 1. Multiple ChoiceA parabola is given by the equation x = -(1/4)y2. In which direction does the parabola open?updownleftright
- 2. Multiple ChoiceWhich is the equation of a circle with radius 8 and center (4, -5)?(x+4)2 + (y-5)2 = 8(x+4)2 + (y-5)2 = 64(x-4)2 + (y+5)2 = 8(x-4)2 + (y+5)2 = 64
- 3. Multiple ChoiceWhat is the equation of the circle that has center (7, 8) and contains the point (10, 12)?(x-7)2 + (y-8)2 = 25(x-7)2 + (y-8)2 = 5(x-7)2 + (y-8)2 = √5(x+7)2 + (y+8)2 = 5
- 4. Multiple ChoiceWhat is the vertex of the parabola with the equation (y-5)=1/2(x+3)2?(3, 5)(-3, 5)(5, -3)(-5, 3)
- 5. Multiple ChoiceFind the equation of a circle that has a diameter with endpoints (7, 4) and (-1, 6).(x-7)2 + (y-4)2 = 225(x-3)2 + (y-5)2 = 289(x-7)2 + (y-4)2 = 15(x-3)2 + (y-5)2 = 17
- 6. Multiple ChoiceWhat is the radius of the circle given by the equation (x+2)2 + (y-5)2 = 9?35981
- 7. Multiple ChoiceWhat is the center of the circle given by the equation (x+2)2 + (y-5)2 = 9?(2, -5)(-2, 5)(2, 5)(-2, -5)
- 8. Multiple ChoiceIf a parabola opens up, is 1/(4d) positive or negative?positivenegative
- 9. Multiple ChoiceWhich is the equation of a parabola that opens down?x-5=-1/7(y+2)2y+2=-1/7(x-5)2x-5 = 1/7(y+2)2y+2 = 1/7(x-5)2
- 10. Multiple ChoiceThe equation x2 - 8x + y2 + 4y = 44 represents the equation of a circle. Complete the square to write the equation in standard form.(x-8)2 + (y+4)2 = 64(x+4)2 + (y+2)2 = 44(x-4)2 + (y+2)2 = 44(x-4)2 + (y+2)2 = 64
- 11. Multiple ChoiceWhat is the equation of a parabola with vertex (3,0) and directrix x = 7?x-3 = (1/16)y2x-3 = -(1/16)y2y = -1/16(x+3)2y = -1/16(x-3)2
- 12. Multiple ChoiceWhat is the equation of a circle with center (-5, -6) and radius √2?(x+5)2 + (y+6)2 = √2(x-5)2 + (y-6)2 = 2(x-5)2 + (y-6)2 = √2(x+5)2 + (y+6)2 = 2
- 13. Multiple ChoiceThe equation x2 + 10x + y2 - 2y + 10 = 0 represents the equation of a circle. Complete the square to write the equation in standard form and then find the center and radius.center (-5, 1); radius 4center (-5, 1); radius 16center (5, -1); radius 4center (5, -1); radius 16
- 14. Multiple ChoiceWhat is the equation of a parabola with vertex (3, 4) and focus (7, 4)?x-3 = 1/16(y-4)2x-3 = 1/28(y-4)2x-3 = -1/28(y-4)2x-3 = -1/16(y-4)2
- 15. Multiple Choice
Find the equation for a circle with center (0, 4) and a radius of 3
x2 + (y-4)2 = √9
x2 + (y+4)2 = 9
x2 + (y+4)2 = 3
x2 + (y-4)2 = 9
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