Graphing Absolute Value Functions and Transformations

What is the basic shape of the graph of an absolute value function?

• A straight line

• A U-shape

• A circle

• A V-shape

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the parent function y = |x|?

• (-1, -1)

• (0, 1)

• (0, 0)

• (1, 1)

Tags

CCSS.HSF-IF.C.7D

How does the graph of y = |x - 2| shift compared to y = |x|?

• 2 units to the left

• 2 units down

• 2 units to the right

• 2 units up

What effect does a negative sign in front of the absolute value function have on the graph?

• It stretches the graph vertically

• It reflects the graph over the x-axis

• It shifts the graph to the right

• It shifts the graph to the left

In the function y = 2|x - 1| + 3, what does the '2' do to the graph?

• Stretches it vertically

• Compresses it vertically

• Shifts it down 2 units

• Shifts it up 2 units

Where is the vertex of the function y = 2|x - 1| + 3?

• (1, -3)

• (2, 3)

• (-1, -3)

• (1, 3)

Tags

CCSS.HSF-IF.C.7D

In the function y = -1/2|x + 3| - 2, what does the '-1/2' do to the graph?

• Reflects it and compresses it

• Stretches it vertically

• Shifts it up 1/2 unit

• Shifts it down 1/2 unit

Where is the vertex of the function y = -1/2|x + 3| - 2?

• (3, -2)

• (-3, 2)

• (-3, -2)

• (3, 2)

Tags

CCSS.HSF-IF.C.7D

What is the domain of the function y = |x|?

• x ≠ 0

• x ≥ 0

• All real numbers

• x ≤ 0

For the function y = -1/2|x + 3| - 2, what is the range?

• y ≤ 2

• y ≥ 2

• y ≤ -2

• y ≥ -2

Tags

CCSS.HSF-IF.C.7D