What is the parent graph of the absolute value graph

The video tutorial explains the concept of the absolute value graph, often referred to as the V graph. It begins with an introduction to the graph's basic equation, Y equals the absolute value of X, and explains the concept of absolute value as a measure of distance, regardless of direction. The tutorial then demonstrates how to create a table of values and plot these on a graph, highlighting key features such as the vertex and symmetry. Finally, it introduces the idea of graph transformations, including compression, stretching, shifting, and reflection.

What is the basic equation for the absolute value graph?

• Y = X^2

• Y = |X|

• Y = X + 1

• Y = 2X

How is the absolute value of a number best described?

• As the number itself

• As the distance from zero

• As the negative of the number

• As the square of the number

When creating a table of values for the absolute value function, what is the result of |−3|?

• −3

• 0

• 3

• 6

What is the vertex of the absolute value graph?

• (0, 0)

• (2, 2)

• (1, 1)

• (−1, −1)

Which feature of the absolute value graph indicates it has an axis of symmetry?

• The slope is constant

• It opens upwards

• It has a vertex at (0, 0)

• It is symmetric about the Y-axis