Deck 10: Analytic Geometry

Question 1

Match the equation of the parabola with the appropriate description.

Answer 1

C

Question 2

Write an equation for the parabola with vertex at the origin.

Answer 2

B

Question 3

Write an equation for the parabola with vertex at the origin.

Answer 3

A

Question 4

Match the equation of the parabola with the appropriate description.

Question 5

Match the equation of the parabola with the appropriate description.

Question 6

Write an equation for the parabola with vertex at the origin.

Question 7

Write an equation for the parabola with vertex at the origin.

Question 8

Match the equation of the parabola with the appropriate description.

Question 9

Write an equation for the parabola with vertex at the origin.

Question 10

Write an equation for the parabola with vertex at the origin.

Question 11

Write an equation for the parabola with vertex at the origin.

Question 12

Match the equation of the parabola with the appropriate description.

Question 13

Match the equation of the parabola with the appropriate description.

Question 14

Match the equation of the parabola with the appropriate description.

Question 15

Write an equation for the parabola with vertex at the origin.

Question 16

Write an equation for the parabola with vertex at the origin.

Question 17

Write an equation for the parabola with vertex at the origin.

Question 18

Match the equation of the parabola with the appropriate description.

Question 19

Match the equation of the parabola with the appropriate description.

Question 20

Match the equation of the parabola with the appropriate description.

Question 21

Determine the two equations necessary to graph the horizontal parabola using a graphing calculator.

Question 22

Write an equation for the parabola.

Question 23

Write an equation for the parabola.

Question 24

Write an equation for the parabola.

Question 25

Graph the parabola.

Question 26

Graph the parabola.

Question 27

Graph the parabola.

Question 28

Graph the parabola.

Question 29

Write an equation for the parabola.

Question 30

Graph the parabola.

Question 31

Write an equation for the parabola.

Question 32

Determine the two equations necessary to graph the horizontal parabola using a graphing calculator.

Question 33

Write an equation for the parabola.

Question 34

Graph the parabola.

Question 35

Determine the two equations necessary to graph the horizontal parabola using a graphing calculator.

Question 36

Write an equation for the parabola.

Question 37

Write an equation for the parabola.

Question 38

Graph the parabola.

Question 39

Write an equation for the parabola.

Question 40

Determine the two equations necessary to graph the horizontal parabola using a graphing calculator.

Question 41

Give the focus, directrix, and axis for the parabola.

Question 42

Solve the problem.

Question 43

Give the focus, directrix, and axis for the parabola.

Question 44

Give the focus, directrix, and axis for the parabola.

Question 45

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
Why is it not possible to choose h and k, neither zero, so the parabola f(x) = a(x - h)2 + k
has its vertex at the origin?

Question 46

Give the focus, directrix, and axis for the parabola.

Question 47

Give the focus, directrix, and axis for the parabola.

Question 48

Give the focus, directrix, and axis for the parabola.

Question 49

Solve the problem.

Question 50

Give the focus, directrix, and axis for the parabola.

Question 51

Solve the problem.

Question 52

Give the focus, directrix, and axis for the parabola.

Question 53

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
Explain why the vertex of a parabola must lie on its axis.

Question 54

Solve the problem.
A building has an entry the shape of a parabolic arch 4 ft high and 28 ft wide at the base. Find an equation for the parabola if the vertex is put at the origin of the coordinate system.

Question 55

Give the focus, directrix, and axis for the parabola.

Question 56

Give the focus, directrix, and axis for the parabola.

Question 57

Solve the problem.

Question 58

Solve the problem.

Question 59

Solve the problem.
A domed ceiling is a parabolic surface. For the best lighting on the floor, a light source is to be placed at the focus of the surface. If 9 m down from the top of the dome the ceiling is 8 m wide,
Find the best location for the light source.

A) 1.8 m down from the top
B) 0.4 m down from the top
C) 1.2 m down from the top
D) 0.8 m down from the top

Question 60

Solve the problem.

Question 61

Write an equation for the ellipse.

Question 62

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 63

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 64

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 65

Write the word or phrase that best completes each statement or answers the question.

Question 66

Write the word or phrase that best completes each statement or answers the question.

Question 67

Write the word or phrase that best completes each statement or answers the question.

Question 68

Write the word or phrase that best completes each statement or answers the question.

Question 69

Write an equation for the ellipse.

Question 70

Write the word or phrase that best completes each statement or answers the question.

Question 71

Write an equation for the ellipse.

Question 72

Write an equation for the ellipse.

Question 73

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 74

Write the word or phrase that best completes each statement or answers the question.

Question 75

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 76

Write an equation for the ellipse.

Question 77

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 78

Write an equation for the ellipse.

Question 79

Write an equation for the ellipse.

Question 80

Write the word or phrase that best completes each statement or answers the question.