9.06 Conic Sections Unit Exam
Question 1
Find the distance between points (1, 2) and (5, 9).
Question 2
Find the distance between points (-3, 8) and (-5, 1).
Question 3
Find the midpoint between points (-4, 2) and (2, -2).
(1, -1)
(0, -1)
(-1, 0)
(1, 0)
2 points
Question 4
Find the midpoint between points (-2, 3) and (-4, -3). (3, 1) (-3, -1) (0, -3) (-3, 0) 2 points
Question 5
The equation represents a __________. parabola circle hyperbola ellipse 2 points
Question 6
What is the directrix of the following graph? y = -1 y = 1 x = 1 x = -1 2 points
Question 7
What is the equation of the following graph?
Question 8
What is the directrix of the following graph?
Question 9
What is the equation of the following graph?
Question 10
What is the equation of a parabola with a directrix x = 8 and focus (-8, 0).
Question 11
What is the equation of a parabola with vertex (0, 0) and directrix y = 12.
Question 12
What is the equation of a parabola with a vertex at (0, 0) and a focus at (0, 6).
Question 13
What is the axis of symmetry for the following parabola? y = 0 x = 0 y = -1 x = -1 2 points
Question 14
What is the equation of the following graph? x2 - y2 = 10 x2 - y2 = 100 x2 + y2 = 10 x2 + y2 = 100 2 points
Question 15
What is the center of the following graph?
Question 16
What is the radius of the following graph?
Question 17
What is the equation of the following graph?
Question 18
What is the equation of a circle with a center at (1, 3) and a radius of 6?
Question 19
What is the equation of a circle with a center at (0, 0) and a radius of 4.5?
Question 20
What is the equation of a circle with a center at (-4, -8) and a radius of 1.9?
Question 21
The point of symmetry for this circle is (0, 0). True False 2 points
Question 22
What is the length of the major axis of the following graph? 6 12 8 10 2 points
Question 23
What is the center of the following graph?
Question 24
What is the equation of the following graph?
Question 25
What are the vertices of the following graph?
Question 26
Write the equation of an ellipse with a major axis of length 8 and co-vertices (0, 3) and (0, -3).
Question 27
Write the equation of an ellipse with vertices (0, 12) and (0, -12) and co-vertices (2, 0) and (-2, 0).
Question 28
Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10.
Question 29
Ellipses have symmetry through both their minor and major axes. True False 2 points
Question 30
What are the asymptotes of the following graph? 2 points
Question 31
What is the equation of the following graph?
Question 32
What is the center of the following graph?
Question 33
What is the equation of the following graph?
Question 34
Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5).
Question 35
Write the equation of a hyperbola with vertices at (-4, 0) and (4, 0) and co-vertices (0, 5) and (0, -5).
Question 36
Write the equation of a hyperbola with vertices (3, -1) and (3, -9) and co-vertices (-6. -5) and (12, -5).
Question 37
The symmetry of a hyperbola with a center at (h, k) only occurs at y = k and x = h. True False