Quiz about Conic Sections Review

Question 1

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Accepted Answer

Parabola

Answer

Circle

Answer

Ellipse

Answer

Hyperbola

Question 2

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Accepted Answer

Hyperbola

Answer

Circle

Answer

Ellipse

Answer

Parabola

Question 3

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Accepted Answer

Ellipse

Answer

Circle

Answer

Hyperbola

Answer

Parabola

Question 4

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Accepted Answer

Ellipse

Answer

Circle

Answer

Hyperbola

Answer

Parabola

Question 5

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Accepted Answer

Circle

Answer

Ellipse

Answer

Hyperbola

Answer

Parabola

Question 6

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Accepted Answer

Ellipse

Answer

Circle

Answer

Hyperbola

Answer

Parabola

Question 7

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Accepted Answer

Circle

Answer

Ellipse

Answer

Hyperbola

Answer

Parabola

Question 8

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Accepted Answer

Ellipse

Answer

Circle

Answer

Hyperbola

Answer

Parabola

Question 9

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Accepted Answer

Hyperbola

Answer

Circle

Answer

Ellipse

Answer

Parabola

Question 10

Find the equation of the parabola described:
Focus at (10, 0); directrix the line x = -10

Accepted Answer

y2 = 40x

Answer

y² = - 40x

Answer

y2 = 10x

Answer

x2 = 40y

Question 11

Find the equation of the parabola described:
Vertex at (0, 0);
axis of symmetry the x-axis
containing the point (1, 5)

Accepted Answer

y2 = 25x

Answer

y² = 25/4 x

Answer

x2 = 25y

Answer

x² = 25/4 y

Question 12

Find the equation of the parabola described:
Focus at (6, 0);
vertex at (0, 0)

Accepted Answer

y2 = 24x

Answer

x2 = 24y

Answer

y2 = 6x

Answer

x2 = 6y

Question 13

Find the equation of the parabola described:
Vertex at (0, 0);
axis of symmetry the x-axis
containing the point (1, 5)

Accepted Answer

y2 = 25x

Answer

y² = 25/4 x

Answer

x2 = 25y

Answer

x² = 25/4 y

Question 14

Find the equation of the parabola described.
Vertex at (3, 4);
Focus at (7, 4)

Accepted Answer

(y - 4)² = 16(x - 3)

Answer

(y - 4)² = -16(x - 3)

Answer

(x - 4)² = 12(y - 4)

Answer

(x - 4)² = -12(y - 4)

Question 15

Find the equation of the parabola described.
Vertex at (7, -2);
focus at (3, -2)

Accepted Answer

(y + 2)² = -16(x - 7)

Answer

(x + 7)² = -4(y - 2)

Answer

(y + 2)² = 16(x - 7)

Answer

(x + 7)² = 4(y - 2)

Question 16

Find the vertex, focus, and directrix of the parabola with the given equation.

Accepted Answer

vertex:  (3, 2) focus:  (5, 2) directrix:  x = 1

Answer

vertex:  (-3, -2) focus:  (-1, -2) directrix:  x = -5

Answer

vertex:  (2, 3) focus:  (4, 3) directrix:  x = 0

Answer

vertex:  (3, 2) focus:  (1, 2) directrix:  x = 5

Question 17

Find the vertex, focus, and directrix of the parabola with the given equation.

Accepted Answer

vertex:  (-4, 2) focus:  (-4, 6) directrix:  y = -2

Answer

vertex:  (4, -2) focus:  (4, 2) directrix:  y = -6

Answer

vertex:  (2, -4) focus:  (2, 0) directrix:  y = -8

Answer

vertex:  (-4, 2) focus:  (-4, -2) directrix:  x = 6

Question 18

What is the center of the ellipse?

Accepted Answer

(1, 0)

Answer

(0, 0)

Answer

(1, 5)

Answer

(0, 1)

Question 19

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -2, -4), (-2, 8)
Length of minor axis is 10
What is the center of the ellipse?

Accepted Answer

( - 2, 2)

Answer

(- 2, 4)

Answer

(2, -2)

Answer

(-2, 1)

Question 20

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( 4, 3), (4, - 9)
Length of minor axis is 8
what is the center of this ellipse?

Accepted Answer

(4, -3)

Answer

(4, 6)

Answer

( - 4, 3)

Answer

(6, 4)

Question 21

Given the following, write the equation of the ellipse.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 22

Given this directrix and vertex, what would the equation of the parabola be?

Accepted Answer

(y-2)² = 12(x-1)

Answer

(y-2)² = 6(x-1)

Answer

(x-1)² = 12(y-2)

Answer

(x-1)² = 6(y-2)

Question 23

What are the vertices of the ellipse?

Accepted Answer

(3, -5) and (3, 7)

Answer

(0, 0)

Answer

(7, 1) and (-1, 1)

Answer

(3, 1)

Question 24

How do you know if a hyperbola opens up and down?

Accepted Answer

y comes first

Answer

x comes first

Answer

a is the first denominator

Answer

b is the first denominator

Question 25

Find the equation of the figure shown.

Accepted Answer

(x-5)²/4 + (y-3)²/9= 1

Answer

(x-5)² + (y-3)²= 25

Answer

(x+5)²/4 + (y+3)²/9= 1

Answer

(x-5)²/2 + (y-3)²/3= 1

Question 26

Find the equation of the figure shown.

Accepted Answer

(x-1)²/16 - (y+2)²/4= 1

Answer

(x+1)²/16 - (y-2)²/4= 1

Answer

(y+2)²/4 - (x-1)²/16= 1

Answer

(x-1)²/4 - (y+2)²/2= 1

Question 27

The foci of an ellipse are located at (-2, 3) & (2, 3), where is the center?

Accepted Answer

(0, 3)

Answer

(3, 0)

Answer

(-2, 0)

Answer

(2, 0)

Question 28

A hyperbola has vertices at (0, -1) and (4, -1) and foci at (-2, -1) and (6, -1). What is the value of b²?

Accepted Answer

12

Answer

144

Answer

4

Answer

16

Question 29

Which of the following is a point of intersection between the line x + y =1 and the ellipse x² + 3y² =21?

Accepted Answer

(-1.5, 2.5)

Answer

(1.5, -3)

Answer

(3, -1.5)

Answer

(1.5, -1.5)

Question 30

Find the ordered pairs of the vertices of the conic pictured.

Accepted Answer

(4, 4) and (-6, 4)

Answer

(-4, -4) and (6, -4)

Answer

(-1, -1) and (-1, 9)

Answer

The conic has no vertices.

Question 31

What are the vertices of the hyperbola?

Accepted Answer

(-4, 3) and (-4, -3)

Answer

(0, 3) and (0, -3)

Answer

(0, 1) and (0, -1)

Answer

(4, 0) and (-4, 0)

Question 32

What is the equation for the foci points on a hyperbola?

Accepted Answer

c² = a² + b²

Answer

c² = a² - b²

Answer

1/4d

Answer

(x-h)² + (y-k)² = r²

Question 33

What is the equation for the foci points on an ellipse?

Accepted Answer

c² = a² - b²

Answer

c² = a² + b²

Answer

1/4d

Answer

(x-h)² + (y-k)² = r²

Question 34

What are the vertices for this ellipse?

Accepted Answer

(-2, 11) & (-2, -9)

Answer

(-2, 1)

Answer

(7, 1) & (-11, 1)

Answer

(2, 9) & (2, -11)

Question 35

Identify the center and the length of a and b.

Accepted Answer

C: (0,0)  a= 5, b=2

Answer

C: (0,0)  a= 25, b=4

Answer

C: (0,0)  a= 4, b=25

Answer

C: (0,0)  a= 2, b=5

Question 36

What is the equation of the circle?

Accepted Answer

(x+1)² + (y +1)² = 9

Answer

(x+1)² + (y +1)² = 3

Answer

(x+1)² + (y -1)² = 3

Answer

(x-1)² + (y -1)² = 9

Question 37

Question 37.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 38

Question 38.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 39

Question 39.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 40

x² - y = -2
-x + y = 4

Accepted Answer

(2, 6), (-1, 3)

Answer

(-2, 2), (1, 5)

Answer

(2, -1)

Answer

(0, 4), (3, 7)

Question 41

4x² - 3xy = -5
-x² + 3xy = 8

Accepted Answer

(1, 3), (-1, -3)

Answer

(1, 7/3), (-1, -7/3)

Answer

(3, 4)

Answer

(1, 3)

Question 42

Question 42.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Conic Sections Review

50 questions

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Find the equation of the parabola described:
Focus at (10, 0); directrix the line x = -10

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Conic Sections Review

50 questions

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Without writing the equation in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.

Find the equation of the parabola described:Focus at (10, 0); directrix the line x = -10

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Find the equation of the parabola described:
Focus at (10, 0); directrix the line x = -10