Graphing an absolute value equation with a vertical shift

The video tutorial explains how to graph the function X = 2|X| - 8. It begins by introducing the concept of the parent function for absolute value graphs, which is the absolute value of X. The tutorial then discusses how multiplying the absolute value function by 2 results in a vertical stretch and horizontal compression. Finally, the video covers the transformation of the graph by shifting it 8 units down, resulting in the final graph. The tutorial emphasizes understanding the effects of multipliers and shifts on the graph's shape and position.

What is the output of the absolute value function when the input is -2?

• 2

• -2

• 0

• 4

How does multiplying the absolute value function by 2 affect the graph?

• It stretches the graph vertically.

• It shifts the graph upwards.

• It compresses the graph vertically.

• It shifts the graph to the right.

What happens to the graph of an absolute value function when it is multiplied by a constant greater than 1?

• The graph shifts to the left.

• The graph becomes wider.

• The graph becomes narrower.

• The graph shifts downwards.

What is the effect of subtracting 8 from the absolute value function on the graph?

• The graph remains unchanged.

• The graph shifts 8 units to the right.

• The graph shifts 8 units upwards.

• The graph shifts 8 units downwards.

In the context of graph transformations, what does the term 'vertical shift' refer to?

• Changing the slope of the graph.

• Moving the graph left or right.

• Moving the graph up or down.

• Reflecting the graph over the x-axis.