Parent
Functions
Describing
Graphing
Transformations Transformations
Review
SAT
Practice
1pt
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3 pt
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4 pt
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Write the equation of the parent
function that is known as a
parabola
2
What is 𝑓 𝑥 = 𝑥 ?
Write the equation of the
parent function that is
known as a the greatest
integer function
What is 𝑓(𝑥) = 𝑥 ?
Sketch the graph of
𝑓 𝑥 = 𝑥
Sketch the graph 𝑓 𝑥 =
3
𝑥
Sketch the graph 𝑓 𝑥 =
𝑥
2
3
Describe the
transformation from the
parent function
2
𝑔 𝑥 = −4𝑥
What is reflection about
the x-axis, vertical
expansion factor 4,
horizontal compression
factor 2?
Describe the
transformation from the
parent function
𝑔 𝑥 =
3
1
− 𝑥
8
What is reflection about
the y-axis, vertical
1
compression factor ,
2
horizontal expansion
1
factor ?
8
Describe the
transformation from the
parent function
𝑔 𝑥 = − −𝑥
What is rotation 180°
about the origin?
Describe the
transformation from the
parent function
𝑔 𝑥 = −2 𝑥 + 3 − 1
What is translated 3 units
left, vertical expansion
factor 2, horizontal
compression factor 2
reflection about the x-axis,
translated down 1 unit?
Describe the
transformation from the
parent function
1
𝑔 𝑥 =2 𝑥 −7
5
What is horizontal
1
expansion factor , vertical
5
expansion factor 2,
translated down 7 units?
Graph and describe the
transformation from the
3
parent graph ℎ 𝑥 = −𝑥
Reflection about
the y-axis
Graph and describe the
transformation from the
parent graph
ℎ 𝑥 = −𝑥 + 4 + 1
Translated left 4 units,
then reflected over the
y-axis, translated up 1
unit.
Graph and describe the
transformation from the
parent function
2
ℎ 𝑥 = 𝑥 −6
Translated 6 down units,
all points with a negative
y-value are reflected
over the x-axis.
Graph and describe the
transformation from the
parent graph
1
ℎ 𝑥 =2 𝑥 −1
4
Horizontal expansion
1
factor , vertical expansion
4
factor 2, translated down
one unit
Graph and describe the
transformation from the
parent graph
ℎ 𝑥 = 2𝑥 + 1 − 1
Translated left one unit,
then horizontal compression
with factor 2, translated
down one unit, all points
with a negative y-value are
reflected over the x-axis.
Even, odd or neither?
5
3
𝑥 +𝑥
𝑓 x = 2
3𝑥 + 1
What is odd?
Is the graph symmetric to
the x-axis, y-axis, origin,
y=x, y=-x or neither?
𝑥 + 𝑦 = 30
What is all?
State the domain in
interval notation
𝑥+8
𝑓 𝑥 = 2
𝑥 + 144
What is −∞, ∞ ?
State the domain in
interval notation
𝑥+8
𝑓 𝑥 = 2
9𝑥 − 64
8
−∞, −
3
What is
8 8
∪ − , ∪
3 3
8
,∞
3
?
State the domain in
interval notation
𝑥+8
𝑓 𝑥 =
3
8−𝑥
What is −2,2 ?
In a class of 78 students 41 are taking
French, 22 are taking German. Of the
students taking French or German, 9
are taking both courses. How many
students are not enrolled in either
course?
A. 6
B. 15
C. 24
D. 33
E. 54
What is C?
A cubical block of metal weighs
6 pounds. How much will another
cube of the same metal weigh if
its sides are twice as long?
A. 48
B. 32
C. 24
D. 18
E. 12
What is A?
The BHS golf team has
five team shirts. If the
team members need to
take two shirts to a
tournament, in how many
ways can they select
them?
What is 10?
The track team’s sprinters are
competing to determine who will
travel to the region competition.
The 1st, 2nd, and 3rd place
runners will attend the meet. If
there are 11 sprinters, how many
outcomes will there be?
What is 990?
The BHS soccer coach
needs two players to go to
the gym to get ice. If there
are 15 players on the
team, how many ways can
he ask the team members
to do this?
What is 105?