Graphing an absolute value function with a vertical shift

The video tutorial explains how to graph absolute value functions using different methods, including the table method and transformations. It covers the effects of negative signs and coefficients on the graph, and demonstrates how to use points to plot the graph. The tutorial emphasizes understanding transformations, such as shifts and reflections, and how they affect the graph's appearance.

What is one method mentioned for graphing absolute value functions?

• Graphing by hand

• Using a calculator

• Using a computer program

• Table method

What points does the basic graph of the absolute value function contain?

• (0,0) and (1,1)

• (-1,1) and (1,1)

• (0,1) and (1,0)

• (-1,-1) and (1,-1)

What does the parameter 'K' do to the graph of an absolute value function?

• Stretches or compresses it

• Shifts it up or down

• Reflects it over the x-axis

• Shifts it left or right

How does a negative sign inside the absolute value function affect the graph?

• Reflects it over the x-axis

• Reflects it over the y-axis

• Shifts it up

• Has no effect

What is the vertex of the graph after applying the transformation with K=6?

• (6,0)

• (1,6)

• (0,6)

• (0,0)

What is the result of applying a transformation with a coefficient of -2?

• The graph shifts left

• The graph stretches

• The graph shifts right

• The graph compresses

What is the y-value when x = -1 after applying the transformations?

• 9

• 7

• 8

• 6