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WorksheetsPrecalc April W4: hyperbolas and parabolas
Total questions: 12
Worksheet time: 52mins
Name
Class
Date
1.
What type of graph is this?
a)
Hyperbola
b)
Exponential
c)
Linear function
d)
Parabola
2.
What type of graph is this?
a)
Hyperbola
b)
Exponential
c)
Linear function
d)
Parabola
3.
What is the equation describing the relationship between dimensions and foci of a hyperbola?
a)
c2 = a2 + b2
b)
c2 = a2 - b2
c)
4p
d)
(x-h)2 + (y-k)2 = r2
4.
Is the hyperbola vertical or horizontal?
a)
Vertical
b)
Horizontal
5.
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
6.
What is the center of the hyperbola?
a)
(0, 4)
b)
(4, 0)
c)
(-4, 0)
d)
(0, -4)
7.
Write in standard form, x2−4y2+10x+32y−75=0
a)
36(y−4)2−9(x+5)2=1
b)
9(y−4)2−36(x+5)2=1
c)
9(y−4)2−36(x−5)2=1
d)
36(x+5)2−9(y−4)2=1
8.
What number would go in the blank?
a)
-2
b)
-4
c)
-8
d)
-16
9.
(y-4)2 = -8(x+1)
What direction does this parabola open?
What direction does this parabola open?
a)
up
b)
down
c)
left
d)
right
10.
(x+3)2 = 4(y+5)
What is the equation of the directrix?
What is the equation of the directrix?
a)
x = 4
b)
x = 2
c)
y = -4
d)
y = -6
11.
(y-4)2 = -8(x+1)
What are the coordinates for the focus?
What are the coordinates for the focus?
a)
(1,4)
b)
(-1,6)
c)
(-1,2)
d)
(-3,4)
12.
Given this directrix and vertex, what would the equation of the parabola be?
a)
(y-2)2 = 12(x-1)
b)
(y-2)2 = 6(x-1)
c)
(x-1)2 = 12(y-2)
d)
(x-1)2 = 6(y-2)
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