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WorksheetsTransformations
Total questions: 15
Worksheet time: 58mins
Name
Class
Date
1.
Reflect the point (-1, 2) over the y-axis.
a)
(-1, -2)
b)
(1, 2)
c)
(1, -2)
d)
(1, 4)
2.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
3.
Describe the transformation of y = (x - 4)2
a)
Shift UP
b)
Shift DOWN
c)
Shift LEFT
d)
Shift RIGHT
4.
Describe the transformation of y = x2 + 4
a)
Shift UP
b)
Shift DOWN
c)
Shift LEFT
d)
Shift RIGHT
5.
Compare the function y = 0.3x2 to the parent function y = x2
a)
Wider
b)
Narrower
6.
In the graph of the function y=x², which describes a vertical shift in the parent function up 5 units?
a)
y = x2 - 5
b)
y = x2 + 5
c)
y = (x - 5)2
d)
y = (x + 5)2
7.
If the blue is f(x)=x2, then the red must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
8.
Match the equation to its description.
a)
Right 2 and up 2
b)
Left 2 and up 2
c)
Right 2 and down 2
d)
Left 2 and down 2
9.
Match the equation to its description.
a)
Reflected over x, right 2 and up 1
b)
Reflected over x, left 2 and up 1
c)
Reflected over x, right 2 and down 1
d)
Reflected over x, left 2 and down 1
10.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
11.
Which of the following is the correct equation for the given graph?
a)
f(x) = -(x + 2)2 - 4
b)
f(x) = -(x - 2)2 - 4
c)
f(x) = -3(x - 2)2 - 4
d)
f(x) = -3(x + 2)2 - 4
12.
What is the equation of this graph?
a)
f(x) = (x -5)2 + 1
b)
f(x) = (x - 1)2 - 5
c)
f(x) = (x + 1)2 - 5
d)
f(x) = (x + 5)2 +1
13.
If red represents y = x2, which equation represents black?
a)
y = 7x2
b)
y = -7x2
c)
y = -(1/7)x2
d)
y = -5x2
14.
Pablo throws a ball with a path of
h = -5(t - 2)2.
Maria throws a ball with a path of
h = -5(t - 2)2 + 10.
Which description is reasonable for the difference in the two equations?
h = -5(t - 2)2.
Maria throws a ball with a path of
h = -5(t - 2)2 + 10.
Which description is reasonable for the difference in the two equations?
a)
Maria throws the ball 10 times harder than Pablo does.
b)
Maria starts her ball at a height 10 feet higher than Pablo does.
c)
Pablo throws the ball 10 times harder than Maria does.
d)
Pablo starts his ball at a height 10 feet higher than Maria does.
15.
Which list orders the quadratic functions from narrowest to widest?
a)
y = x2
y = 4x2
y = 2x2 - 2
y = 0.5 x2
y = 4x2
y = 2x2 - 2
y = 0.5 x2
b)
y = 0.5 x2
y = x2
y = 2x2 - 2
y = 4x2
y = x2
y = 2x2 - 2
y = 4x2
c)
y = 4x2
y = 2x2 - 2
y = x2
y = 0.5 x2
y = 2x2 - 2
y = x2
y = 0.5 x2
d)
y = 2x2 - 2
y = 4x2
y = 0.5x2
y = x2
y = 4x2
y = 0.5x2
y = x2
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