Quiz about precalculus

Question 1

Which conic is given by (x-4)² = 8(y - 3)?

Accepted Answer

Parabola

Answer

Hyperbola

Answer

Ellipse

Answer

Circle

Question 2

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

Accepted Answer

Center (4,3)
Radius = 5 units

Answer

Center (4,3)
Radius = 25 units

Answer

Center (-4,-3)
Radius = 25 units

Answer

Center (-4,-3)
Radius = 5 units

Question 3

Find the ordered pair for the focus of the conic pictured.

Accepted Answer

(3, 6)

Answer

(5, 4)

Answer

(1, 4)

Answer

(3, 2)

Question 4

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 5

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 6

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 7

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the a and b value of the ellipse?

Accepted Answer

a = 10 , b = 6

Answer

a = 6 , b = 10

Answer

a = 36 , b = 100

Answer

a = 100 , b = 36

Question 8

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 9

Which conic's equation has only 1 squared term?

Accepted Answer

Parabola

Answer

Circle

Answer

Ellipse

Answer

Hyperbola

Question 10

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 11

Which is the equation to find c on an ellipse?

Accepted Answer

c² = a² - b²

Answer

c² = a² + b²

Answer

1/4d

Answer

(x-h)² + (y-k)² = r²

Question 12

(y-4)² = -8(x+1)
What direction does this parabola open?

Accepted Answer

left

Answer

up

Answer

down

Answer

right

Question 13

(y-4)² = -8(x+1)
What are the coordinates for the focus?

Accepted Answer

(-3,4)

Answer

(1,4)

Answer

(-1,6)

Answer

(-1,2)

Question 14

(x+3)² = 4(y+5)
What is the equation of the directrix?

Accepted Answer

y = -6

Answer

x = 4

Answer

x = 2

Answer

y = -4

Question 15

Write the equation of a circle with center (7, 0) with radius 3.

Accepted Answer

(x - 7)² + y² = 9

Answer

x² + (y -7)² = 9

Answer

(x - 7)² + y² = 3

Answer

x² + (y -7)² = 3

Question 16

What number would go in the blank?

Accepted Answer

-8

Answer

-2

Answer

-4

Answer

-16

Question 17

In the equation
(x+2)²+(y+3)²=49, what is the center of the circle?

Accepted Answer

(-2, -3)

Answer

(2, 3)

Answer

(3, 2)

Answer

(-3, -2)

Question 18

Classify the conic section.

Accepted Answer

Circle

Answer

Ellipse

Answer

Line

Answer

None of these

Question 19

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 20

What are the vertices of the hyperbola?

Accepted Answer

(0, 5) and (0, -5)

Answer

(5, 0) and (-5, 0)

Answer

(0, 25) and (-25, 0)

Answer

(0, 0) and (0, 5)

Question 21

What is the directrix of the parabola
(x - 4)²= 8(y + 3)?

Accepted Answer

y= - 5

Answer

y = - 3

Answer

x= 5

Answer

y= 2

Question 22

What is the focus of the following parabola?
(y + 5)²= -12 (x - 2)

Accepted Answer

(-1, -5 )

Answer

(2, - 5)

Answer

( -5, 2)

Answer

(1 , -5 )

Question 23

True or False?
When the x-part is squared, the parabola opens up or down.

Accepted Answer

True

Answer

False

Question 24

What is the center of the ellipse?

Accepted Answer

(1, 0)

Answer

(0, 0)

Answer

(1, 5)

Answer

(0, 1)

Question 25

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 26

What direction does the parabola open?
(y-9)²= -40(x+4)

Accepted Answer

Left

Answer

Up

Answer

Down

Answer

Right

Question 27

What is "a" in the equation:
(y-9)²=-40(x+4)

Accepted Answer

- 10

Answer

10

Answer

- 40

Answer

40

Question 28

How WIDE will this parabola be?

Accepted Answer

12

Answer

3

Answer

(2,3)

Answer

24

Question 29

What number would go in the blank?

Accepted Answer

-8

Answer

-2

Answer

-4

Answer

-16

Question 30

Given the following, write the equation of the ellipse.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 31

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 32

Put the ellipse in standard form

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 33

What should replace the blue square in the equation?

Accepted Answer

-2y

Answer

-8y

Answer

+2y

Answer

+8y

Question 34

Given the equation of the parabola, where would the VERTEX be? (put in standard form)

Accepted Answer

( 3 , 3)

Answer

(24, 3)

Answer

( - 24, 3)

Answer

(-3, 3)

Question 35

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 36

Which direction does this parabola open?

Accepted Answer

Left

Answer

Up

Answer

Down

Answer

Right

Question 37

Write an equation for the ellipse with each set of characteristics. Then answer the questions.

Vertices ( 4, 3), (4, - 9)

Length of minor axis is 8

What is the center of this ellipse? ___________________________

Write the equation in standard form_________________________

Accepted Answer

(4, -3)

Answer

(4, 6)

Answer

( - 4, 3)

Answer

(6, 4)

Question 38

What is the center of the ellipse?

Accepted Answer

(1, 0)

Answer

(0, 0)

Answer

(1, 5)

Answer

(0, 1)

Question 39

Question 39.

Accepted Answer

Horizontal Hyperbola

Answer

Vertical Hyperbola

Answer

Vertical Ellipse

Answer

Horizontal Ellipse

Question 40

Which type of conic section is this equation?

Accepted Answer

ellipse

Answer

circle

Answer

hyperbola

Answer

parabola

Question 41

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 42

Which type of conic section is this equation?

Accepted Answer

parabola

Answer

circle

Answer

ellipse

Answer

hyperbola

Question 43

Which conic section is represented by the equation

9x² - 4y² - 54x - 40y - 55 = 0

Rewrite the equation in standard form

____________________________________

Accepted Answer

Hyperbola

Answer

Circle

Answer

Ellipse

Answer

Parabola

Question 44

Write the equation of the circle with a radius of 3 and a center of (4, 2).

Accepted Answer

( x - 4)² + (y - 2)² = 3²

Answer

( x - 4)² + (y - 2)² = 3

Answer

( x - 2)² + (y - 2)² = 3²

Answer

( x + 4)² + (y + 2)² = 3²

Question 45

Question 45.

Accepted Answer

Vertical Ellipse

Answer

Vertical Hyperbola

Answer

Horizontal Ellipse

Answer

Horizontal Hyperbola

Question 46

Write an equation for the ellipse with each set of characteristics. Then answer the question.

Vertices ( -7, -3), (13, - 3)

foci ( - 5, -3 ) , (11 , -3)

What is the a and b value of the ellipse? _______________________

Accepted Answer

(x-3)²/100 + (y+3)²/36 = 1

Answer

(x+7)²/10 + (y+3)²/6 = 1

Answer

(x-3)²/100 + (y+3)²/64 = 1

Answer

(x+7)²/36 + (y+3)²/100 = 1

Question 47

Question 47.

Accepted Answer

Vertical Ellipse

Answer

Vertical Hyperbola

Answer

Horizontal Ellipse

Answer

Horizontal Hyperbola

Question 48

Question 48.

Accepted Answer

Horizontal Hyperbola

Answer

Vertical Hyperbola

Answer

Vertical Ellipse

Answer

Horizontal Ellipse

Question 49

In the equation (x-3)²+(y+4)²=121, the radius of the circle is

Accepted Answer

11

Answer

242

Answer

121

Answer

22

Question 50

Which parabola opens down with a vertex at (-3, 4)?

Accepted Answer

y = -(x+3)² + 4

Answer

y = (x + 3)² - 4

Answer

y = -(x + 3)² - 4

Answer

y = (x + 3)² + 4

Question 51

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 52

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 53

What direction does the parabola point?

Accepted Answer

Right

Answer

Up

Answer

Down

Answer

Left

Question 54

Change the following equation to standard form
x²+y²-4x+12y-8=0

Accepted Answer

(x-2)²+(y+6)²=48

Answer

(x+2)²+(y-6)²=48

Answer

(x-6)²+(y-2)²=48

Answer

(x+2)²+(y-6)²=48

Question 55

Write in component form.

Accepted Answer

<8, 2>

Answer

<0, 4>

Answer

<2, 8>

Answer

<0, 2>

Question 56

Find the magnitude of the vector <10, -8>

Accepted Answer

12.81

Answer

2

Answer

6

Answer

18

Question 57

Find the component form of a vector whose initial point is (5, 7) and terminal point is (1, 10)

Accepted Answer

<-4, 3>

Answer

<4, -3>

Answer

5

Answer

<6, 17>

Question 58

Express the complex number in polar form.

-2 + 5i

Accepted Answer

5.39 ( cos 1.95 + i sin 1.95)

Answer

5.39 ( cos 65.06 + i sin 65.06)

Answer

2.65 ( cos 1.95 - i sin 1.95 )

Answer

2.65 ( cos 65. 06 - i sin 65.06 )

Question 59

What is the inverse in the given coordinates {(18,6), (6,2), (27,9), (21,7), (15,5)}

Accepted Answer

{(6,18), (2,6), (9,27), (7,21), (5,15)}

Answer

{(6,18), (2,6), (9,27), (7,22), (5,15)}

Answer

{(6,18), (6,2), (9,27), (7,21), (5,15)}

Answer

{(6,18), (2,6), (9,27), (7,21), (15,15)}

Question 60

What is the inverse in the given coordinates {(7,42), (9,54), (6,36), (2,12), (3,18)}

Accepted Answer

{(42,7), (54,9), (36,6), (12,2), (18,3)}

Answer

{(42,7), (54,9), (36,6), (12,2), (18,8)}

Answer

{(42,7), (54,9), (36,6), (2,12), (18,3)}

Answer

{(42,7), (54,9), (6,36), (12,2), (18,3)}

Question 61

Does the following graph have an inverse?

Accepted Answer

Yes, because this graph is one-to-one and onto function

Answer

No, because this graph is not one-to-one function

Answer

No, because this graph not a function

Answer

Yes, because this graph is a function

Question 62

What is the inverse in the given coordinates {(10,20), (7,14), (8,16), (5,10)}

Accepted Answer

{(20,10), (14,7), (10,5), (16,8)}

Answer

{(20,10), (14,7), (8,16), (10,5)}

Answer

{(14,7), (8,16), (10,5), (20,10)}

Answer

{(10,20), (14,7), (16,8), (10,5)}

Question 63

Does the following graph have an inverse?

Accepted Answer

No, because this graph is not one-to-one function

Answer

Yes, because this graph is one-to-one function

Answer

Yes, because this graph is a function

Answer

No, because this graph not a function

Question 64

Does the following graph have an inverse?

Accepted Answer

No, because this graph is not one-to-one function

Answer

Yes, because this graph is one-to-one function

Answer

Yes, because this graph is a function

Answer

No, because this graph not a function

precalculus

122 questions

Which conic is given by (x-4)² = 8(y - 3)?

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

Find the ordered pair for the focus of the conic pictured.

Find the equation of the figure shown.

Find the equation of the figure shown.

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

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the a and b value of the ellipse?

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

Which conic's equation has only 1 squared term?

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

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precalculus

122 questions

Which conic is given by (x-4)2 = 8(y - 3)?

What are the coordinates of the center and the radius of the circle with equation:(x - 4)2 + (y - 3)2 = 25 ?

Find the ordered pair for the focus of the conic pictured.

Find the equation of the figure shown.

Find the equation of the figure shown.

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

Write an equation for the ellipse with each set of characteristics. Then answer the question.Vertices ( -7, -3), (13, - 3)foci ( - 5, -3 ) , (11 , -3)what is the a and b value of the ellipse?

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

Which conic's equation has only 1 squared term?

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

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Which conic is given by (x-4)² = 8(y - 3)?

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the a and b value of the ellipse?

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