What are the transformations and parent graph of the reciprocal function

The video tutorial introduces the reciprocal function and explains how to transform it using parameters a, h, and k. It discusses the effects of these parameters on the graph, including flipping, stretching, compressing, and shifting. The tutorial also covers asymptotes, domain, and range, and provides instructions for graphing and practice problems.

What is the reciprocal function of X?

• X^2

• X - 1

• X + 1

• 1 / X

In the transformation formula a * 1 / X - H + K, what does the 'a' component affect?

• Changes the color of the graph

• Shifts the graph up or down

• Shifts the graph left or right

• Flips, stretches, or compresses the graph

What role does 'H' play in the transformation formula a * 1 / X - H + K?

• It shifts the graph up or down

• It changes the slope of the graph

• It shifts the graph left or right

• It flips the graph over the X-axis

Which of the following is true about the asymptotes of the reciprocal function?

• They occur at X = 0 and Y = 0

• They occur at X = 1 and Y = 1

• They occur at X = 0 and X = 1

• They occur at Y = 0 and Y = 1

What is the domain of the reciprocal function?

• All real numbers except X cannot equal 0

• All real numbers except Y cannot equal 0

• All real numbers except X cannot equal 1

• All real numbers except Y cannot equal 1