Deck 11: Analytic Geometry

Question 1

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

Answer 1

D

Question 2

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

Answer 2

A

Question 3

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

Answer 3

B

Question 4

Match the equation of the parabola with the appropriate description.

Question 5

Match the equation of the parabola with the appropriate description.

A) Opens up
B) Opens down
C) Opens left
D) Opens right

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

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

Question 9

Match the equation of the parabola with the appropriate description.

Question 10

Match the equation of the parabola with the appropriate description.

A) Opens left
B) Opens right
C) Opens down
D) Opens up

Question 11

Match the equation of the parabola with the appropriate description.

A) Opens left
B) Opens right
C) Opens down
D) Opens up

Question 12

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

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

Match the equation of the parabola with the appropriate description.

A) Opens left
B) Opens up
C) Opens down
D) Opens right

Question 17

Match the equation of the parabola with the appropriate description.

Question 18

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

Question 19

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

Question 20

Match the equation of the parabola with the appropriate description.

A) Opens left
B) Opens down
C) Opens right
D) Opens up

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

Graph the parabola.

Question 24

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

Question 25

Write an equation for the parabola.

Question 26

Graph the parabola.

Question 27

Write an equation for the parabola.

Question 28

Graph the parabola.

Question 29

Write an equation for the parabola.

Question 30

Write an equation for the parabola.

Question 31

Graph the parabola.
8

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

Write an equation for the parabola.

Question 35

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

Question 36

Graph the parabola.

Question 37

Write an equation for the parabola.

Question 38

Write an equation for the parabola.

Question 39

Graph the parabola.

Question 40

Graph the parabola.

Question 41

Give the focus, directrix, and axis for the parabola.
A projectile is thrown upward so that its distance above the ground after t seconds is After how many seconds does it reach its maximum height?

A) 28 sec
B) 34 sec
C) 17 sec
D) 14 sec

Question 42

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

Question 43

Provide an appropriate response.
Why is it not possible to choose h and k, neither zero, so the parabola has its vertex at the origin?

Question 44

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

Question 45

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

Question 46

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

Question 47

Give the focus, directrix, and axis for the parabola.
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 10 m down from the top of the dome the ceiling is 19 m wide,
Find the best location for the light source.

A) 9 m down from the top
B) 4.6 m down from the top
C) 2.3 m down from the top
D) 6.9 m down from the top

Question 48

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

Question 49

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

Question 50

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

Question 51

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

Question 52

Give the focus, directrix, and axis for the parabola.
A cross-section of an irrigation canal is a parabola. If the surface of the water is 48 ft wide and the canal is 7 ft deep at the center, how deep is it 24 ft from the edge?

A) 0 ft
B) 1.8 ft
C) 5.2 ft
D) 7 ft

Question 53

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

Question 54

Provide an appropriate response.
Explain why the vertex of a parabola must lie on its axis.

Question 55

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

Question 56

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

Question 57

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

Question 58

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

Question 59

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

Question 60

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

Question 61

Provide an appropriate response.

Question 62

Match the equation of the ellipse with the appropriate description.

Question 63

Provide an appropriate response.

Question 64

Match the equation of the ellipse with the appropriate description.

Question 65

Write an equation for the ellipse.

Question 66

Write an equation for the ellipse.

Question 67

Match the equation of the ellipse with the appropriate description.

Question 68

Match the equation of the ellipse with the appropriate description.

Question 69

Write an equation for the ellipse.

Question 70

Match the equation of the ellipse with the appropriate description.

Question 71

Write an equation for the ellipse.

Question 72

Provide an appropriate response.

Question 73

Write an equation for the ellipse.

Question 74

Write an equation for the ellipse.

Question 75

Provide an appropriate response.

Question 76

Provide an appropriate response.

Question 77

Match the equation of the ellipse with the appropriate description.

Question 78

Provide an appropriate response.

Question 79

Provide an appropriate response.

Question 80

Write an equation for the ellipse.