Think you’ve got your head wrapped around Conic Sections? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. Which of the following IS true for an ellipse?
It has two vertices.
The distance to from the center to the foci is 4p.
Circles are a type of ellipse.
a2 + b2 = c2
All of the above are true.
Q. Which of the following is NOT true for an ellipse?
It has one directrix.
The terms a and b are NOT equal in the equation for an ellipse.
It has two foci.
Both the x and y terms are squared in the equation for an ellipse.
All of the above are true.
Q. Which of the following is not an ellipse?
-(x – 1)2 – 2(y – 1) = -4
Q. How is this ellipse oriented?
Vertical
Horizontal
Circular
Diagonal
Maybe it spins?
Q. What is the equation for f2?
a2 = f2 – b2, when a < b
f2 = a2 + b2
f2 =a2 – b2, when a > b
b2 = a2 – f2, when a < b
f2 = a2 – b2, when a < b
Q. What is center for this ellipse? ½(x – 2)2 + (y + 14)2 = 6
(14, -2)
(14, 2)
(-14, -2)
(2, -14)
(-2, 14)
Q. Which of the following is NOT a vertex of this ellipse?
(-2, 5)
(-2, -1)
(0, 2)
(-4, 2)
(-2, 2)
Q. What is the length of the semi-major axis of this ellipse?
a=16
b=16
a=4
b=4
b=2
Q. What is the length of the semi-minor axis of this ellipse?
a = 16
b = 16
a = 4
b = 4
b = 2
Q. What is the distance from the center to the foci, f, for this ellipse?
4
3
1
5
2