WorksheetsTransformations Of Quadratics
Total questions: 10
Worksheet time: 18mins
Name
Class
Date
1.
What is the parent function of a quadratic?
a)
y=x
b)
y=x2
c)
y=x
d)
y=∣x∣
2.
Which transformation transforms the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
shift 4 units up
b)
shift 4 units down
c)
shift 4 units to the left
d)
shift 4 units to the right
3.
How did we transform from y=x2 to
y = -3x2
a)
reflection in x-axis and shifts down
b)
reflection x-axis and narrower
c)
wider
d)
reflection x-axis and wider
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.
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
6.
If red represents y = x2, which equation represents blue?
a)
y = 2x2
b)
y = -2x2
c)
y = -x2
d)
y = (x - 1)2
7.
What are the transformations?
y=(x-2)2+4 (Choose ALL that apply.)
a)
shift right 2
b)
shift left 2
c)
shift up 4
d)
shift down 4
8.
Which describes the transformation of the graph of f(x) = x2 to the graph of g(x) = -4x2
a)
Reflected, narrower
b)
reflected, wider
c)
shifted down 4 units
d)
shifted up 4 units
9.
y=(x+2)2+4
*Mark all that apply.
a)
reflection across x-axis
b)
left 2
c)
up 4
d)
right 2
10.
Write the equation of this transformation: reflection across x-axis, left 3, up 15
a)
y= -(x+3)2+15
b)
y= -(x+3)2 - 15
c)
y= (x+3)2+15
d)
y= -(x+15)2+3
100 %
