Exploring Two-Variable Absolute Value Equations

The video tutorial explains how to write equations for graphs with V-shaped absolute value functions. It covers the components of these equations, including horizontal and vertical translations, reflections, and stretch or compression factors. The tutorial provides four examples, each demonstrating how to derive the equation based on the graph's shifts and transformations.

What shape do all the graphs in the video have?

• L-shaped

• V-shaped

• U-shaped

• S-shaped

What does the 'h' value in the absolute value equation represent?

• Reflection over the x-axis

• Horizontal shift

• Compression factor

• Vertical shift

What happens to the graph when you add a constant 'k' outside the absolute value?

• It compresses

• It shifts horizontally

• It shifts vertically

• It reflects over the y-axis

In the first graph, how many units is the graph shifted to the left?

• One unit

• Two units

• Four units

• Three units

In the first graph, how many units is the graph shifted up?

• One unit

• Two units

• Three units

• Four units

What indicates that there is no reflection in the first graph?

• The slope is one

• The V shape is facing upwards

• The graph is shifted left

• The graph is shifted up

In the second graph, what does the negative sign in front of the absolute value indicate?

• Vertical shift

• Horizontal shift

• Reflection over the x-axis

• Compression factor

In the third graph, what is the vertical stretch factor?

• One

• Two

• Three

• Four

In the fourth graph, what is the horizontal shift?

• Left 2 units

• Right 2 units

• Right 1 unit

• Left 1 unit

In the fourth graph, what is the compression factor?

• One

• Two

• Three

• One-half