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HW #157 Hyperbolas + Conic Review

Total questions: 35

Worksheet time: 3hrs 45mins

Name
Class
Date
1.

Classify the conic. (a)  

Choose from the below words
Parabola
Circle
Hyperbola
Ellipse
2.

Classify the conic.

a)

Parabola

b)

Circle

c)

Hyperbola

d)

Ellipse

3.

Classify the conic.

a)

Parabola

b)

Circle

c)

Hyperbola

d)

Ellipse

4.

Classify the conic.

a)

Parabola

b)

Circle

c)

Hyperbola

d)

Ellipse

5.

Equation ?

a)
b)
c)
d)
6.

Equation ?

a)
b)
c)
d)
7.

Equation ?

a)
b)
c)
d)
8.

Equation ?

a)
b)
c)
d)
9.

Coordinates of the Vertices?

a)

(0 , 5) ; (0 , -5)

b)

(0 , 9) ; (0 , -9)

c)

(5 , 0) ; (-5 , 0)

d)

(9 , 0) ; (-9 , 0)

10.

Coordinates of the Foci ?

a)

(0 , √106) ; (0 , -√106)

b)

(√106 , 0) ; (-√106 , 0)

c)

(0 , √31) ; (0 , -√31)

d)

(√31 , 0) ; (-√31 , 0)

11.
What is the center of the hyperbola?
a)
(0, 4)
b)
(4, 0)
c)
(-4, 0)
d)
(0, -4)
12.
Is the hyperbola vertical or horizontal? 
a)
Vertical
b)
Horizontal
13.
A hyperbola with a horizontal tranverse axis has asymptotes y = ± ¾x.  Which of the following could be the equation of the hyperbola in standard form.
a)
x²/3 + y²/4 = 1
b)
x²/4 - y²/3 = 1
c)
x²/16 - y²/9 = 1
d)
x²/25 - y²/16 = 1
14.
a)
b)
c)
d)
15.

The vertices of a hyperbola are located at (1,1) and (5 ,1). Which are the coordinates of the center?

a)

(3,1)

b)

(3,0)

c)

(1,3)

d)

(9,1)

16.
Which way does the parabola open?              (y - 4)2 = -8(x+1)  
a)
up 
b)
down
c)
left
d)
right
17.
What is the equation of this parabola?
a)
(y-1)2 = -4(x-3)
b)
(y-1)2= 4(x+3)
c)
(y+1)2 = 4(x-3)
d)
(y+1)2 = -4(x+3)
18.
What is the equation for the focus points on an ELLIPSE?
a)
c2 = a2 + b2
b)
c2 = a2 - b2
c)
1/4d
d)
(x-h)2 + (y-k)2 = r2
19.
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)
a = 10 , b = 6
b)
a = 6 , b = 10
c)
a = 36 , b = 100
d)
a = 100 , b = 36
20.
What is the value of a2 for the given hyperbola?
a)
1
b)
-2
c)
25
d)
16
21.
A hyperbola has vertices at (0, -1) and (4, -1) and foci at (-2, -1) and (6, -1). What is the value of b2?
a)
12
b)
144
c)
4
d)
16
22.
Why are Conic Sections given this name?
a)
They are the cross-sections given when a cone is sliced.
b)
Because it's part of 'da rules'
c)
They are the cross-sections given when any 3D image is sliced.
23.

Write the standard form of the circle by completing the square:

x2 + y2 +10y = 39

a)

x2 + (y+5)2 = 49

b)

x2 + (y+5)2 = 64

c)

(x+5)2 + y2 = 61

d)

(x+5)2 + y2 = 100

24.

Which is the equation to find c on an HYPERBOLA?

a)

c2 = a2 + b2

b)

c2 = a2 - b2

c)

1/4d

d)

(x-h)2 + (y-k)2 = r2

25.

Find the standard equation of the given ellipse

a)
b)
c)
d)
26.

Check the box that shows a parabola.

a)
b)
c)
d)
e)
27.
What are the asymptotes of the hyperbola in the picture?
a)
y = x and y = –x
b)
y = 2x and y = –2x
c)
y = 1/2x and y = –1/2x
d)
y = 2x and y = 4x
28.
What conic section is pictured?
a)
Circle
b)
Ellipse
c)
Parabola
d)
Hyperbola
29.
A hyperbola has vertices (±5, 0) and one focus at (6, 0). What is the equation of the hyperbola in standard form?
a)
x²/25 + y²/11 = 1
b)
x²/5 - y²/11 = 1
c)
x²/11- y²/25 = 1
d)
x²/25 - y²/11= 1
30.

What is the equation of this hyperbola?

a)
b)
c)
d)
31.

What is the "a" value of this hyperbola?

a)

5

b)

6

c)

3

d)

4

e)

7.5

32.

What is the "b" value of this hyperbola?

a)

3

b)

5

c)

4

d)

6

e)

7.5

33.

What is the "c" value of this hyperbola?

a)

5.83

b)

4.45

c)

3.34

d)

6.5

e)

7.25

34.

What is the center of this hyperbola?

a)

(-2,4)

b)

(4,2)

c)

(3,3)

d)

(5,3)

e)

(7.5,3)

35.

What is the graph of this hyperbola?

a)
b)
c)
d)
e)

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