The video tutorial explains how to graph an absolute value function with transformations. It covers flipping, stretching, and shifting the graph, finding the new vertex, and using a T-chart to plot points. The tutorial concludes with determining the domain and range of the transformed graph.

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

• A U shape

• A V shape

• A circle

• A straight line

Tags

CCSS.HSF-IF.C.7D

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

• It stretches the graph

• It shifts the graph to the right

• It flips the graph over

• It compresses the graph

How does the number 2 in front of the absolute value function affect the graph?

• It makes the graph wider

• It shifts the graph down

• It makes the graph skinnier

• It shifts the graph up

What does adding 3 inside the absolute value function do to the graph?

• Moves the graph left 3 units

• Moves the graph right 3 units

• Moves the graph up 3 units

• Moves the graph down 3 units

What is the new vertex of the graph after moving it left 3 and up 4?

• (3, -4)

• (3, 4)

• (-3, 4)

• (-3, -4)

Why do we pick points around -3 when creating a T-chart for the transformed graph?

• Because -3 is the slope

• Because -3 is the center of the V shape

• Because -3 is the x-intercept

• Because -3 is the y-intercept

What is the output when you plug in -2 into the transformed function?

• -2

• 0

• 2

• 4

Tags

CCSS.HSF.BF.B.3

What is the domain of the transformed absolute value function?

• All real numbers

• All positive numbers

• All negative numbers

• Numbers between -3 and 3

Tags

CCSS.HSF-IF.C.7D

What is the range of the transformed absolute value function?

• From -4 to infinity

• All positive numbers

• All real numbers

• From -infinity to 4

Tags

CCSS.HSF-IF.C.7D

What is the highest point on the transformed graph?

• (-3, 4)

• (0, 4)

• (-3, 0)

• (4, -3)

Tags

CCSS.HSF-IF.C.7E