What are the transformations of the absolute value equation

The video tutorial discusses transformations of the absolute value graph, focusing on how different coefficients and constants affect the graph's shape and position. It covers the role of the vertex, horizontal and vertical shifts, and the impact of coefficients A and B on the graph's slope and reflections. The tutorial emphasizes understanding these transformations through examples and calculations.

What is the initial position of the vertex in an untransformed absolute value graph?

• (0,0)

• (1,1)

• (2,2)

• (-1,-1)

If the equation is y = |x - 3|, in which direction is the graph shifted?

• Right 3 units

• Left 3 units

• Down 3 units

• Up 3 units

How does a positive value of A greater than 1 affect the graph?

• It compresses the graph

• It reflects the graph over the X-axis

• It stretches the graph

• It shifts the graph upwards

What happens to the graph when A is negative?

• It reflects over the X-axis

• It shifts left

• It shifts right

• It reflects over the Y-axis

How does the parameter B affect the vertex of the graph?

• It changes the reflection

• It changes the slope

• It changes the horizontal position

• It changes the vertical position

What is the effect of a negative B value on the graph?

• Reflects over the X-axis

• Reflects over the Y-axis

• Shifts up

• Shifts down

When B is between 0 and 1, what transformation occurs?

• Horizontal stretch

• Vertical compression

• Horizontal compression

• Vertical stretch