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WorksheetsSquare Root Functions Attributes
Total questions: 22
Worksheet time: 22mins
Name
Class
Date
1.
What are the transformations of this functions compared to the parent function?
a)
Shifted down 2
b)
Shifted up 2
c)
Shifted left 2
d)
Shifted right 2
2.
What type of function is shown?
a)
cube root
b)
square root
c)
logarithm
d)
exponential
3.
What is the equation of the graph?
a)
y = √(x - 3)
b)
y = √(x) + 3
c)
y = √(x - 5) + 4
d)
y = √(x + 5) + 4
4.
What is the equation of the graph?
a)
y = -√(x + 5)
b)
y = √(x) - 2
c)
y = √(x - 3)
d)
y = -√(x) + 3
5.
What is the equation of the graph?
a)
y = -√(x + 5)
b)
y = -√(x + 3)
c)
y = -√(x - 3)
d)
y = -√(x) + 3
6.
What is the equation of the graph?
a)
y = √(x - 3)
b)
y = √(x) + 3
c)
y = √(x - 5) + 4
d)
y = √(x + 5) + 4
7.
Which of these equations shifts a radical equation left 3 times?
a)
y = √(x) + 3
b)
y = √(x) - 3
c)
y = √(x + 3)
d)
y = √(x - 3)
8.
Which of these equations shifts a radical equation right 5 times and down once?
a)
y = √(x - 5) - 1
b)
y = √(x + 5) - 1
c)
y = √(x - 5) + 1
d)
y = √(x + 5) + 1
9.
What function best describes this graph?
a)
f(x)= -√(x+4) -2
b)
f(x)= √(x-4) -2
c)
f(x)= -√(x-4) -2
d)
f(x)= √(x+4) +2
10.
Match the correct equation with the given graph.
a)
y = √(x) + 2
b)
y = √(x) - 2
c)
y = √(x + 2)
d)
y = √(x - 2)
11.
Identify the Range
a)
(- ∞, -2 ]
b)
[ -2, ∞ )
c)
(-∞, 0)
d)
[ 0, ∞)
12.
What are the transformations for the graph of
the parent function f(x) = √x to the function above
the parent function f(x) = √x to the function above
a)
Vertical Stretch by a factor of 2; translated down 5 units
b)
Shifted right 2 units and down 5 units
c)
Vertical stretch by a factor of 2; translated left 5 units
d)
Vertical stretch by a factor of 2; translated right one unit
13.
What are the transformations of this functions compared to the parent function?
a)
Shifted down 2
b)
Shifted up 2
c)
Shifted left 2
d)
Shifted right 2
14.
Find the domain and range of the function
Hint: Use a scratch graph to help you visualize things.
Hint: Use a scratch graph to help you visualize things.
a)
Domain: (-∞, ∞) Range: [-∞, 4]
b)
Domain: [1, ∞) Range: (-∞, 4]
c)
Domain: [-1. ∞) Range: [4, ∞)
d)
Domain: [4, ∞) Range: [-1,∞)
15.
a)
y = 2 √(x) - 4
b)
y = - √(x - 4)
c)
y = 2 √(x)
d)
y = 2 √(x) + 4
16.
a)
y = - √(x + 1)
b)
y = √(x + 1)
c)
y = - √(x) - 1
d)
y = - √(x) + 1
17.
Describe the transformation.
a)
Left 1, Reflect over x-axis, up 2
b)
Left 1, Reflect over y-axis, down 2
c)
Right 1, Reflect over x-axis, up 2
d)
Right 1, Reflect over y-axis, uo 2
18.
What is the parent function of the graph?
a)
y = x2
b)
y = 2√x
c)
y = √x
19.
What are the transformations of this functions compared to the parent function?
a)
Shifted down 2
b)
Shifted up 2
c)
Shifted left 2
d)
Shifted right 2
20.
What is the domain of this function?
f(x) = √(x-2) + 4
f(x) = √(x-2) + 4
a)
[2,∞)
b)
(-∞,2]
c)
(∞,2]
d)
[4,∞)
21.
What is the range of this function?
f(x) = √(x-2) + 4
f(x) = √(x-2) + 4
a)
(-∞,4]
b)
(-∞,2]
c)
(∞,4]
d)
[4,∞)
22.
Is the endpoint of this function a minimum or the maximum?
f(x) = -√(x-2) +4
f(x) = -√(x-2) +4
a)
minimum
b)
maximum
c)
both
d)
neither
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