NEW
Font size
S
M
L
XL
WorksheetsSquare Root, Cubic, and Cube Root Functions
Total questions: 32
Worksheet time: 40mins
Name
Class
Date
1.
Which is the graph of the square root parent function?
a)
A
b)
B
c)
C
d)
D
2.
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
3.
Describe the transformations.
a)
Translate Right 2, Down 4
b)
Translate Left 2, Down 4
c)
Translate Left 2, Up 4
d)
Translate Right 2, Up 4
4.
What is the equation of the function graphed?
a)
f(x) = √(x-2) + 5
b)
f(x) = √(x+5) - 2
c)
f(x) = √(x+2)+ 5
d)
f(x) = √(x-2) - 5
5.
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
6.
Which describes the graph?
a)
y=√(x+4)+1
b)
y=√(x-4)-1
c)
y=√(x+4)-1
d)
y=√(x-4)+1
7.
a)
j(x) = √(x-4) + 2
b)
j(x) = √(x+4) + 1
c)
j(x) = ∛(x-4) + 2
d)
j(x) = √x + 1
8.
What type of function is shown?
a)
Linear
b)
square root
c)
Quadratic
d)
exponential
9.
On scratch paper!!
Simplify √28
Simplify √28
a)
2√14
b)
2√7
c)
7√2
d)
14√2
10.
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)
11.
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
12.
On PAPER!
Evaluate:
√25 + √81
Evaluate:
√25 + √81
a)
86
b)
15
c)
17
d)
14
13.
What is the DOMAIN of the function?
a)
x ≥ -3
b)
x ≥ 0
c)
x≥ 3
d)
x ≤0
14.
a)
y ≥ 5
b)
x ≥ -5
c)
All Real #s
d)
x ≥ 5
15.
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
16.
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
17.
What is the range of the function in this graph?
a)
y ≤ 3
b)
y ≥ 3
c)
y ≤ 0
d)
y ≥ 0
18.
The graph shows the function f(x)=x3 in blue and another function g(x) in red. Which could be the equation for g(x)?
a)
A. g(x) = -x3
b)
B. g(x) = x3 - 1
c)
C. g(x) = (x + 1)3
d)
D. g(x) = (x - 1)3
19.
What transformations has the function undergone?
a)
reflect over y, vertical compress by 2, right 5, up 1
b)
reflect over x, horizontal compression by 2, left 5, up 1
c)
reflect over x, vertical stretch by 2, right 5, up 1
d)
reflect over y, horizontal stretch by -2, right 5, up 1
20.
What are the transformations?
y=(x-2)3+4
y=(x-2)3+4
a)
Horz shift right 2 Vert shift up 4
b)
Horz shift left 2 Vert shift down 4
c)
Horz shift right 2 Vert shift down 4
d)
Horz shift left 2 Vert shift up 4
21.
Describe the transformation of the graph y = -2(x + 5)3
a)
Shrink by 2, Reflected over y-axis, Right 5
b)
Stretch by 2, Reflected over x-axis, Left 5
c)
Stretch by 2, Reflected over x-axis, Right 5
d)
Shrink by 2, reflected over y-axis, Left 5
22.
Describe the transformation of the graph y = - ½(x + 4)3 - 1
a)
Left 4 and Down 1
b)
Reflected x-axis, Down 1, Left 4, Shrink by 1/2
c)
Reflected x-axis, Down 1, Left 4, Stretch by 1/2
d)
Reflected x-axis, Up 1, Right 4, Shrink by 1/2
23.
Describe the transformation of the graph y = (x)3 + 6
a)
Right 6
b)
Left 6
c)
Up 6
d)
Down 6
24.
Name the parent function.
a)
cubic
b)
cube root
c)
exponential
d)
quadratic
25.
Identify the Transformations.
a)
Vertical stretch by 2 and down 4
b)
Horizontal compression by ½ and down 4
c)
Vertical stretch by 2 and up 4
d)
Horizontal compression by ½ and right 4
26.
What kind of function is represented by the graph?
a)
Cube Root Function
b)
Cubic Function
c)
Polynomial Function
d)
Square Root Function
27.
Name the parent function.
a)
cube root
b)
quadratic
c)
cubic
d)
square root
28.
Name the parent function.
a)
linear
b)
quadratic
c)
cubic
d)
logarithmic
29.
Name the parent function.
a)
linear
b)
quadratic
c)
cube root
d)
cubic
30.
Describe the transformations of the graph shown.
a)
Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units left.
b)
Shifted down 4 units, horizontal compression by a factor of 3, and shifted 6 units left.
c)
Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units right.
d)
none of the above.
31.
What is the center point of the function?
a)
(5,-1)
b)
(5,1)
c)
(-5,-1)
d)
(-5,1)
32.
What is the center point of the function?
a)
(5,-3)
b)
(5,3)
c)
(-5,-3)
d)
(-5,3)
Reset
