Understanding Absolute Value and Graph Transformations

The video tutorial covers graphing techniques, focusing on x-intercepts and y-intercepts. It explains how to transform graphs using vertical and horizontal reflections. The concept of absolute value is introduced, emphasizing its role in determining distance from the origin. The tutorial also discusses how absolute value affects graph behavior, particularly in relation to positive and negative values.

What is a common mistake when plotting graphs with intercepts?

• Drawing the wrong side of the graph

• Using incorrect colors

• Labeling axes incorrectly

• Forgetting to use a ruler

What type of reflection is discussed in graph transformations?

• Vertical reflection

• Diagonal reflection

• No reflection

• Horizontal reflection

What is the result of applying a vertical reflection to a graph?

• The graph flips upside down

• The graph shifts to the right

• The graph becomes wider

• The graph changes color

What does the modulus represent in graphing?

• The slope of the line

• The distance from the origin

• The angle of the curve

• The color of the graph

How does the absolute value affect negative values on a graph?

• It leaves them unchanged

• It turns them into positive values

• It removes them from the graph

• It makes them more negative

What is the effect of absolute value on the positive parts of a graph?

• They remain unchanged

• They are inverted

• They are doubled

• They are removed

What happens to parts of a graph where the absolute value is negative?

• They disappear

• They become positive

• They double in size

• They change color

When is the absolute value of a number equal to the number itself?

• When the number is imaginary

• When the number is negative

• When the number is zero

• When the number is positive

What is the absolute value of a negative number?

• A positive number

• An imaginary number

• Zero

• The same negative number

What does the absolute value function do to a graph?

• It shifts the graph upwards

• It changes the graph's color

• It reflects the graph over the x-axis

• It removes all negative y-values