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Precalc Q4 Quiz 1

Total questions: 15

Worksheet time: 45mins

Name
Class
Date
1.
What is the center of the ellipse?
a)
(0, 0)
b)
(1, 5)
c)
(1, 0)
d)
(0, 1)
2.
Identify the center and the length of a and b.
a)
C: (0,4)  a= 25, b=4
b)
C: (0,0)  a= 4, b=25
c)
C: (0,5)  a= 2, b=5
d)
C: (0,0)  a= 5, b=2
3.
See Picture
a)
A
b)
B
c)
C
d)
D
4.
See Picture
a)
A
b)
B
c)
C
d)
D
5.
Is the hyperbola vertical or horizontal? 
a)
Vertical
b)
Horizontal
6.
Find the equation of hyperbola.
a)
(x - 2)2 / 16 - (y + 3)2 / 20 = 1
b)
(x + 3)2 / 16 - (y - 2)2 / 20 = 1
c)
(x - 2)2 / 20 - (y + 3)2 / 16 = 1
d)
(y + 3)2 / 16 - (x - 2)2 / 20 = 1
7.

Written in standard form, this would be . . .

a)

A

b)

B

c)

C

d)

D

8.
Write the equation of a circle with center (7, 0) with radius 3.
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
9.
What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
a)
Center (4,3)
Radius = 5 units
b)
Center (4,3)
Radius = 25 units
c)
Center (-4,-3)
Radius = 25 units
d)
Center (-4,-3)
Radius = 5 units
10.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
11.

What is the graph of this hyperbola?

a)
b)
c)
d)
e)
12.
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
13.

What are the co-vertices of the ellipse?

a)

(0, 0)

b)

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

c)

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

d)

(3, 1)

14.

Which of the following is the graph of  (x+3)24+(y+1)29=1\frac{\left(x+3\right)^2}{4}+\frac{\left(y+1\right)^2}{9}=1  

a)
b)
c)
d)
15.
Is the point (3 , 5) inside, outside or on the circle with equation x2 + y2 = 9?
a)
Inside the Circle
b)
Outside the Circle
c)
On the Circle