Worksheetsquadratic transformation
Total questions: 12
Worksheet time: 13mins
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.
How did we transform from f(x) =x2
to
g(x) = -3x2
to
g(x) = -3x2
a)
reflection in x-axis and vertical shift down
b)
reflection x-axis and vertical stretch
c)
horizontal stretch
d)
reflection x-axis and vertical compression
3.
Match the description to its equation.
Moves right 7
Moves right 7
a)
A
b)
B
c)
C
d)
D
4.
How did we transform from the parent function?
g(x) = -1/5(x - 1)2 + 7
g(x) = -1/5(x - 1)2 + 7
a)
reflection, vertical compression, horizontal right, vertical up
b)
vertical compression, horizontal shift left, vertical shift up
c)
reflection, horizontal shift right, vertical shift down
d)
no changes were made to y = x2
5.
Match the description to its equation:
moves down 3
moves down 3
a)
A
b)
B
c)
C
d)
D
6.
In the equation f(x)=5(x+3)2-10 what does the 5 do?
a)
Vertical stretch by 5
b)
Horizontal compress by 5
c)
Reflect
d)
Move up 5
7.
What is the vertical shift of this equation?
f(x) = -(x + 3)2 - 5
f(x) = -(x + 3)2 - 5
a)
left 5
b)
right 5
c)
up 5
d)
down 5
8.
Does the graph of this equation widen or narrow from the parent function?
g(x) = 3/4 (x - 5)2 + 12
g(x) = 3/4 (x - 5)2 + 12
a)
widen
b)
neither
c)
narrow
9.
What is the horizontal shift of this equation?
f(x) = 3/4 (x - 5)2 + 12
f(x) = 3/4 (x - 5)2 + 12
a)
up 5
b)
down 5
c)
left 5
d)
right 5
10.
What is the vertical shift of this equation?
g(x) = 3/4 (x - 5)2 + 12
g(x) = 3/4 (x - 5)2 + 12
a)
up 12
b)
down 12
c)
left 12
d)
right 12
11.
Does the graph of this equation open up or down?
f(x) = -(x + 3)2 - 5
f(x) = -(x + 3)2 - 5
a)
up
b)
down
12.
Which quadratic function is represented by the graph?
a)
y = 2(x - 4)2 + 5
b)
y = 2(x + 4)2 + 5
c)
y = -2(x - 4)2 + 5
d)
y = -2(x + 4)2 + 5
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