Think you’ve got your head wrapped around Linear Equations and Functions? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. Given the graph of y = |x|, tell how the following changes affect the graph. y = |x – 1|
Shifts the graph 1 to the right
Shifts the graph 1 to the left
Shifts the graph 1 up
Shifts the graph 1 down
Inverts the graph y = |x|
Q. Given the graph of y = |x|, tell how the following changes affect the graph. y = |x + 1|
Shifts the graph 1 to the right
Shifts the graph 1 to the left
Shifts the graph 1 up
Shifts the graph 1 down
Inverts the graph y = |x|
Q. Given the graph of y = |x|, tell how the following changes affect the graph. y = -|x|
Shifts the graph 1 to the right
Shifts the graph 1 to the left
Shifts the graph 1 up
Shifts the graph 1 down
Inverts the graph
Q. Given the graph of y = |x|, tell how the following changes affect the graph. y = |x| – 1
Shifts the graph 1 to the right
Shifts the graph 1 to the left
Shifts the graph 1 up
Shifts the graph 1 down
Inverts the graph y = |x|
Q. Given the graph of y = |x|, tell how the following changes affect the graph. y = |x| + 1
Shifts the graph 1 to the right
Shifts the graph 1 to the left
Shifts the graph 1 up
Shifts the graph 1 down
Inverts the graph y = |x|
Q. Given the graph of y = |x|, tell how the following changes affect the graph. y = |x – 1| + 1
Shifts the graph 1 to the right and 1 down
Shifts the graph 1 to the left and 1 up
Shifts the graph 1 to the right and 1 up
Shifts the graph 1 to the left and 1 down
Shifts the graph 1 to the right and inverts it
Q. Given the graph of y = |x|, tell how the following changes affect the graph. y = |x + 2| – 3
Shifts the graph 2 to the right and 3 down
Shifts the graph 3 to the left and 3 up
Shifts the graph 2 to the right and 3 up
Shifts the graph 3 to the left and 2 down
Shifts the graph 2 to the left and 3 down
Q. Given the graph of y = |x|, tell how the following changes affect the graph. y = -|x – 4|
Shifts the graph 4 to the right and 4 down
Shifts the graph 4 to the left and 4 up
Shifts the graph 4 to the right and 3 up
Shifts the graph 4 to the right and inverts it
Shifts the graph 4 to the left and inverts it
Q. Given the graph of y = |x|, tell how the following changes affect the graph. y = -|x| – 3
Shifts the graph 3 down and inverts it
Shifts the graph 3 up and inverts it
Shifts the graph 3 to the right and inverts it
Shifts the graph 3 to the left and inverts it
Shifts the graph 3 down and 1 to the left
Q. Given the graph of y = |x|, tell how the following changes affect the graph. y = |x – 1| + 5
Shifts the graph 1 to the left and 5 up
Shifts the graph 1 to the right and 5 up
Shifts the graph 5 to the left and 1 up
Shifts the graph 5 to the right and 1 up
Shifts the graph 1 to the right and 5 down