Graphing Absolute Value Functions with Transformations

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

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

What is the domain of the transformed absolute value function?

• All real numbers

• All positive numbers

• All negative numbers

• Numbers between -3 and 3

What is the range of the transformed absolute value function?

• From -4 to infinity

• All positive numbers

• All real numbers

• From -infinity to 4

What is the highest point on the transformed graph?

• (-3, 4)

• (0, 4)

• (-3, 0)

• (4, -3)