Master How to graph the reciprocal function with multiple transformations

The video tutorial explains how to graph reciprocal functions using transformations. It begins with an introduction to the parent function y = 1/X and its graph without transformations. The tutorial then covers various transformations, including horizontal and vertical shifts, and reflections. Techniques for sketching graphs with these transformations are discussed, along with handling multiple transformations. The video concludes with a demonstration of reflecting the graph over the X-axis and finalizing the graphing process.

What is the parent function of a reciprocal function?

• y = x + 1

• y = x - 1

• y = 1/x

• y = x^2

How does the parameter 'h' affect the graph of a reciprocal function?

• It stretches or compresses the graph.

• It shifts the graph left or right.

• It reflects the graph over the x-axis.

• It shifts the graph up or down.

What happens to the vertical asymptote when the graph is shifted 2 units to the right?

• It moves 2 units to the left.

• It remains unchanged.

• It moves 2 units to the right.

• It moves 2 units up.

If a reciprocal function is transformed with x + 3, what is the direction of the shift?

• Right 3 units

• Down 3 units

• Left 3 units

• Up 3 units

How does the parameter 'k' affect the graph of a reciprocal function?

• It reflects the graph over the y-axis.

• It shifts the graph up or down.

• It shifts the graph left or right.

• It stretches or compresses the graph.

What is the effect of a negative 'a' on the graph of a reciprocal function?

• It reflects the graph over the y-axis.

• It shifts the graph up.

• It shifts the graph down.

• It reflects the graph over the x-axis.

What is the result of reflecting a reciprocal function over the x-axis?

• The graph is inverted over the x-axis.

• The graph is shifted down.

• The graph is inverted over the y-axis.

• The graph is shifted up.