NEW
Font size
S
M
L
XL
WorksheetsA.7C Quadratic Transformations
Total questions: 20
Worksheet time: 4hrs 54mins
Name
Class
Date
1.
Which transformation transforms the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
a vertical translation 4 units up
b)
a vertical translation 4 units down
c)
a horizontal translation 4 units to the left
d)
a horizontal translation 4 units to the right
2.
What is the vertical shift of this equation?
y = 3/4 (x - 5)2 + 12
y = 3/4 (x - 5)2 + 12
a)
up 12
b)
down 12
c)
left 12
d)
right 12
3.
What is the horizontal shift of this equation?
y = 3/4 (x - 5)2 + 12
y = 3/4 (x - 5)2 + 12
a)
up 5
b)
down 5
c)
left 5
d)
right 5
4.
If the blue graph is
f(x) = x2
the red must be...
f(x) = x2
the red must be...
a)
g(x) = (x + 3)2
b)
g(x) = (x - 3)2
c)
g(x) = x2 + 3
d)
g(x) = x2 - 2
5.
a)
horizontal shift to the right 4 and vertical shift down 2
b)
horizontal shift to the left 4 and vertical shift up 2
c)
horizontal shift to the right 4 and vertical shift up 2
d)
horizontal shift to the left 4 and vertical shift down 2
6.
What is the vertex of this equation?
y = (x + 3) - 7
Pay attention to negative signs!
a)
(3, 7)
b)
(-3, -7)
c)
(-3, 7)
d)
(3, -7)
7.
Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
a reflection across the line x = -4
b)
a reflection across the line y = -4
c)
a translation shifting f(x) 4 units to the left
d)
a translation shifting f(x) 4 units to the right
8.
Which is the parent function of a parabola?
a)
y = x2
b)
y = 2x2 + 3
c)
y = -x2 -4
d)
y = -x2
9.
a)
horizontal shift to the right 4 and vertical shift down 2
b)
horizontal shift to the left 4 and vertical shift down 2
c)
horizontal shift to the right 4 and vertical shift up 2
d)
horizontal shift to the left 4 and vertical shift up 2
10.
a)
horizontal shift to the right 2 and vertical shift up 4
b)
horizontal shift to the right 2 and vertical shift down 4
c)
horizontal shift to the left 2 and vertical shift up 2
d)
horizontal shift to the left 2 and vertical shift down 2
11.
If the blue graph is
f(x) = x2
then the red must be...
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
12.
a)
horizontal shift to the right 2 and vertical shift up 4
b)
horizontal shift to the right 2 and vertical shift down 4
c)
horizontal shift to the left 2 and vertical shift up 4
d)
horizontal shift to the left 2 and vertical shift down 4
13.
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 up 4
c)
Horz shift right 2 Vert shift down 4
d)
Horz shift left 2 Vert shift up 4
14.
What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?
a)
horizontal shift down and vertical shift left
b)
horizontal shift left and vertical shift down
c)
horizontal shift right and vertical shift up
d)
horizontal shift up and vertical shift right
15.
What happened to the red graph's x- and y-coordinates when transformed to the blue graph?
a)
x-values increased and y-values decreased
b)
x-values decreased and y-values decreased
c)
x-values increased and y-values increased
d)
x-values decreased and y-values increased
16.
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 up 4
c)
Horz shift right 2 Vert shift down 4
d)
Horz shift left 2 Vert shift up 4
17.
What are the transformations?
y=(x-2)3+4
y=(x-2)3+4
a)
Horizontal shift right 2 Vertical shift up 4
b)
Horizontal shift left 2 Vertical shift up 4
c)
Horizontal shift right 2 Vertical shift down 4
d)
Horizontal shift left 2 Vertical shift up 4
18.
Which transformation will occur if f(x) = x2 is replaced with f(x) + 2?
a)
Nothing happens, it stays the same.
b)
Vertical stretch by a factor of 2.
c)
Vertical translation up by 2 units.
d)
Reflection across the x-axis.
19.
Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
a reflection across the line x = -4
b)
a reflection across the line y = -4
c)
a translation shifting f(x) 4 units to the left
d)
a translation shifting f(x) 4 units to the right
20.
What is the vertical shift of this equation?
y = -(x + 3)2 - 5
y = -(x + 3)2 - 5
a)
left 5
b)
right 5
c)
up 5
d)
down 5
Reset
