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WorksheetsGraphing Radical Equations
Total questions: 38
Worksheet time: 31mins
Name
Class
Date
1.
Name the parent function.
a)
cube root
b)
quadratic
c)
cubic
d)
square root
2.
Which of these is not a point on the parent function, y = √x ?
a)
(0,0)
b)
(2,4)
c)
(4,2)
d)
(1,1)
3.
Domain is:
a)
All x values, from left to right.
b)
All y values, from bottom to top.
c)
All x values from bottom to top.
d)
All y values from left to right.
4.
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)
5.
Describe the transformation.
a)
Down 1
b)
Reflect over y-axis
c)
Up 1
d)
Reflect over x-axis
6.
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
7.
List the translations or reflections of this function.
f(x)= -√x -2
f(x)= -√x -2
a)
Reflection, Left 2
b)
Reflections, Up 2
c)
Reflection, Right 2
d)
Reflection, Down 2
8.
Which of the following is the function shown in the 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
9.
Which of the following is the function shown in the graph?
a)
y = √(x) + 2
b)
y = √(x) - 2
c)
y = √(x + 2)
d)
y = √(x - 2)
10.
Which of the following is the function shown in the graph?
a)
y = √(x - 3)
b)
y = √(x) + 3
c)
y = √(x + 3)
d)
y = √(x) - 3
11.
What is the domain of the function in this graph?
a)
x ≤ 3
b)
x ≥ 3
c)
x ≤ 0
d)
x ≥ 0
12.
What is the range of the function in this graph?
a)
y ≤ 3
b)
y ≥ 3
c)
y ≤ 0
d)
y ≥ 0
13.
Which of the following is the function shown in the graph?
a)
y = - √(x + 1)
b)
y = √(x + 1)
c)
y = - √(x) - 1
d)
y = - √(x) + 1
14.
What is the domain of this graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x ≥ 0
d)
x ≤ 0
15.
What is the range of this graph?
a)
y ≥ -1
b)
y ≤ -1
c)
y ≥ 0
d)
y ≤ 0
16.
Describe the transformation.
a)
Right 10
b)
Up 10
c)
Down 10
d)
Left 10
17.
Describe the transformation.
a)
right 5
b)
left 5
c)
up 5
d)
down 5
18.
Describe the transformation.
a)
Vertical Stretch by 2
b)
Vertical Shrink by ⅓
c)
Horizontal Shrink by ⅓
d)
Horizontal Stretch by 3
19.
Describe the transformation
a)
Left 4 units, up 1 unit
b)
Right 4 units, up 1 unit
c)
Left 4 units, down 1 unit
d)
Right 4 units, down 1 unit
20.
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
21.
Which is the graph of f(x) = √x +3
a)
A
b)
B
c)
C
d)
D
22.
What is the domain of the graph of the radical function?
a)
(-infinity, infinity)
b)
(-7, infinity)
c)
(0, infinity)
d)
(4, infinity)
23.
What is the domain of the graph of the radical function?
a)
(-infinity, infinity)
b)
(-7, infinity)
c)
(0, infinity)
d)
(4, infinity)
24.
Describe the transformation.
a)
Down 1
b)
Reflect over y-axis
c)
Up 1
d)
Reflect over x-axis
25.
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
26.
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)
27.
Match the correct equation with the given graph.
a)
y = √(x) + 2
b)
y = √(x) - 2
c)
y = √(x + 2)
d)
y = √(x - 2)
28.
Which of these equations shifts a radical equation right 1 time and up 2 times?
a)
y = √(x + 1) - 2
b)
y = √(x - 1) + 2
c)
y = √(x - 2) + 1
d)
y = √(x + 2) - 1
29.
Match the correct equation with the given graph.
a)
y = √(x - 3)
b)
y = √(x) + 3
c)
y = √(x + 3)
d)
y = √(x) - 3
30.
Range is:
a)
All x values, from left to right.
b)
All y values, from left to right.
c)
All y values, from bottom to top.
d)
All x values, from bottom to top.
31.
Describe the transformation.
a)
Down 1
b)
Reflect over y-axis
c)
Up 1
d)
Reflect over x-axis
32.
Which of the following is the function shown in the 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
33.
Which of the following is the function shown in the graph?
a)
y = √(x - 3)
b)
y = √(x) + 3
c)
y = √(x + 3)
d)
y = √(x) - 3
34.
Which of the following is the function shown in the graph?
a)
y = - √(x + 1)
b)
y = √(x + 1)
c)
y = - √(x) - 1
d)
y = - √(x) + 1
35.
Which of the following is the function shown in the graph?
a)
y = √(x) + 2
b)
y = √(x) - 2
c)
y = √(x + 2)
d)
y = √(x - 2)
36.
What is the domain of the function in this graph?
a)
b)
c)
d)
37.
Name the parent function.
a)
cube root
b)
quadratic
c)
cubic
d)
square root
38.
What is the vertex of this function?
a)
(0,0)
b)
(2,2)
c)
(-2,-3)
d)
(2,-3)
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