Effects of Transformations on Reciprocal Functions

The video tutorial covers the reciprocal function family, focusing on functions that model inverse variation. It explains the general form of these functions and their transformations, including stretches, compressions, reflections, and translations. The tutorial provides a detailed example of graphing y = 12/x, identifying intercepts and asymptotes, and discussing domain and range. It also examines how different values of 'a' affect graph transformations. The video concludes with practice questions for students to reinforce their understanding.

What is the general form of a reciprocal function?

• y = ax^2 + bx + c

• y = a/x

• y = ax + b

• y = a(x - h) + k

Which transformation involves flipping the graph over an axis?

• Reflection

• Compression

• Stretch

• Translation

What is the effect of a horizontal translation on a reciprocal function?

• Reflects the graph

• Moves the graph up or down

• Moves the graph left or right

• Stretches the graph

What is the effect of a horizontal translation on a reciprocal function?

• Moves the graph up or down

• Moves the graph left or right

• Stretches the graph

• Reflects the graph

What is the effect of a vertical translation on a reciprocal function?

• Reflects the graph

• Stretches the graph

• Moves the graph left or right

• Moves the graph up or down

What is the effect of a vertical stretch on a reciprocal function?

• Moves the graph up or down

• Moves the graph left or right

• Stretches the graph

• Reflects the graph

What is the effect of a vertical compression on a reciprocal function?

• Moves the graph up or down

• Compresses the graph

• Moves the graph left or right

• Stretches the graph

What is the effect of a horizontal stretch on a reciprocal function?

• Moves the graph left or right

• Compresses the graph

• Stretches the graph

• Moves the graph up or down

What is the effect of a horizontal compression on a reciprocal function?

• Stretches the graph

• Moves the graph up or down

• Moves the graph left or right

• Compresses the graph

What is the effect of a reflection over the x-axis on a reciprocal function?

• Reflects the graph

• Moves the graph left or right

• Moves the graph up or down

• No effect