Worksheet to practice transformations of the square root graph.

1. Common
Core
Math
2
Transformations
Name_________________________
Unit
3
-­‐
Radicals
1
I. Graph
each
of
the
following
and
describe
the
transformation
from
the
parent
graph
𝒚 = 𝒙
1.
𝑦 = 𝑥 + 3
2.
𝑦 = 𝑥 − 5
Description:
Description:
_________________________________________
_________________________________________
3.
𝑦 = 𝑥 − 4
4.
𝑦 = 𝑥 + 1
Description:
Description:
_________________________________________
_________________________________________

2. Common
Core
Math
2
Transformations
Name_________________________
Unit
3
-­‐
Radicals
2
5.
𝑦 = 4 𝑥
6.
𝑦 =
!
!
𝑥
Description:
Description:
_________________________________________
_________________________________________
7.
𝑦 = − 𝑥
8.
𝑦 = − 𝑥 + 3 + 5
Description:
Description:
_________________________________________
_________________________________________

3. Common
Core
Math
2
Transformations
Name_________________________
Unit
3
-­‐
Radicals
3
II. Write
the
equation
given
the
following
transformations
to
the
parent
graph
𝒚 = 𝒙
:
1. A
radical
shifted
right
7
and
down
3
units.
2. A
radical
with
a
vertical
stretch
by
a
factor
of
3
and
shifted
up
5
units.
3. A
radical
shifted
up
8
units
and
reflected
over
the
x-­‐axis.
4. A
radical
with
a
vertical
shrink
by
a
factor
of
!
!
,
reflected
over
the
x-­‐axis,
and
shifted
left
3
and
up
1
unit.
III. Describe
the
end
behavior,
state
the
Domain
and
Range,
and
the
intercepts
for
each
of
the
following:
1. 2.
𝑦 = 𝑥 − 1 + 2
𝑦 = 𝑥 − 7
Domain:
______________________
Domain:
______________________
Range:
________________________
Range:
________________________
x-­‐intercept:
__________________
x-­‐intercept:
__________________
y-­‐intercept:
__________________
y-­‐intercept:
__________________
End
Behavior:
End
Behavior:
As
the
value
for
x
gets
larger
.
.
.
As
the
value
for
x
gets
larger
.
.
.
_____________________________________
_____________________________________

4. Common
Core
Math
2
Transformations
Name_________________________
Unit
3
-­‐
Radicals
4
3.
4.
𝑦 = − 𝑥 + 3 + 5
𝑦 = 4 𝑥 − 1 + 2
Domain:
______________________
Domain:
______________________
Range:
________________________
Range:
________________________
x-­‐intercept:
__________________
x-­‐intercept:
__________________
y-­‐intercept:
__________________
y-­‐intercept:
__________________
End
Behavior:
End
Behavior:
As
the
value
for
x
gets
larger
.
.
.
As
the
value
for
x
gets
larger
.
.
.
_____________________________________
_____________________________________
5.
6.
𝑦 = −
!
!
𝑥 + 5
𝑦 = 𝑥 − 7 − 4
Domain:
______________________
Domain:
______________________
Range:
________________________
Range:
________________________
x-­‐intercept:
__________________
x-­‐intercept:
__________________
y-­‐intercept:
__________________
y-­‐intercept:
__________________
End
Behavior:
End
Behavior:
As
the
value
for
x
gets
larger
.
.
.
As
the
value
for
x
gets
larger
.
.
.
_____________________________________
_____________________________________