How to describe and graph a reflection of an absolute value function

The video tutorial covers four types of functions: constant, identity, absolute value, and quadratic. It explains how to identify and graph absolute value functions, including transformations and reflections. The tutorial also discusses how multiplying by negative values affects the graph, leading to reflections over the X and Y axes. Symmetry in absolute value and quadratic functions is highlighted.

Which of the following is a characteristic of a constant function?

• It has a slope of 1.

• It is not a function.

• It forms a horizontal line.

• It forms a vertical line.

What does the presence of two bars in a function indicate?

• It is a constant function.

• It is an absolute value function.

• It is an identity function.

• It is a quadratic function.

What happens when you multiply a function by -1 inside the function?

• The graph shifts down.

• The graph reflects over the Y-axis.

• The graph reflects over the X-axis.

• The graph shifts up.

How does multiplying a function by -1 outside the function affect it?

• It reflects over the Y-axis.

• It shifts the graph to the left.

• It shifts the graph to the right.

• It reflects over the X-axis.

Which function type can be described as having a slope of up 1 / 1?

• Identity function

• Absolute value function

• Quadratic function

• Constant function

Which of the following functions is symmetrical about the Y-axis?

• Linear function

• Quadratic function

• Exponential function

• Logarithmic function

What is the result of flipping an absolute value function over the Y-axis?

• It remains unchanged.

• It reflects over the X-axis.

• It shifts to the right.

• It becomes a different function.