Identify the focus & directrix of the parabola given by x^2 = 12y.
What is focus: (0, 3)
directrix: y = -3
300
State 4 ordered pairs on the circle (x - 3)^2 +(y + 2)^2 = 16
What is (7, -2), (-1, -2), (3, 2), (3, -6)
300
Find the coordinates of the vertices of the ellipse
x^2/4 + y^2/16 = 1
What is (0, 4) & (0, -4)
300
Write the equation of the hyperbola with vertices (0, 12) & (0, -12) & asymptotes y = 4/3x & y = -4/3x.
What is y^2/144 - x^2/81 = 1
300
Classify the conic section & state the characteristics.
x^2/80 + y^2/16 = 1. Identify the foci, a & b values.
What is an ellipse with foci (8, 0) & (-8, 0)
a = sqrt 80
b = 4
400
Write the standard form of the equation of the parabola with its vertex at the origin & directrix x = 8.
What is y^2 = -32x
400
State the radius & center of the circle.
x^2 - 10x + y^2 +8y + 32 = 0
What is radius = 3 & center = (5, -4)
400
Write the equation of the ellipse with a co-vertex at (2, 0) and focus at (0, 5)
What is x^2/4 + y^2/29 = 1
400
Write the equation of the hyperbola with vertices at (2, 4) & (8, 4) & foci at (-2, 4) & (12, 4)
What is (x - 5)^2/9 - (y - 4)^2/40 = 1
400
Classify the conic section & state the characteristics.
(x - 1)^2 = -8(y + 2)
What is a parabola with vertex (1, -2)
p = -2
directrix y = 2
500
Write the standard form of the parabola with its vertex at the origin & directrix x = -3.
What is y^2 = 12x
500
State the center & radius of the circle.
x^2 + 2x + y^2 - 4y + 1 = 0
What is center = (-1, 2) & radius = 2
500
A skating park has a track shaped like an ellipse. If the length of the track is 90m and the width of the track is 40m, find the equation of the ellipse.
What is x^2/2025 + y^2/400 = 1
500
Write the equation of the hyperbola with vertices (0, -2*sqrt 6) & (0, 2*sqrt 6) & foci (0, -5) & (0, 5).
What is y^2/24 - x^2/1 = 1
500
Classify the conic section & state the characteristics.
x^2 - 6x + y^2 -10y + 18 = 0