Identify the transformations, domain and range of the reciprocal function

The video tutorial covers the identification of parent functions, specifically the reciprocal function, and how to apply transformations using parameters A, C, and D. It explains the effects of these transformations on the graph, including reflections, vertical stretches, and shifts. The tutorial also discusses how to determine the domain and range of the transformed function, emphasizing the importance of understanding asymptotes in graphing.

What is the parent function discussed in the video?

• Linear function

• Quadratic function

• Reciprocal function

• Exponential function

Which transformation parameter is not used in the given example?

• D

• C

• B

• A

What does a negative value of A indicate in the transformation?

• No transformation

• Vertical stretch

• Horizontal shift

• Reflection over the X-axis

How does the parameter C affect the graph of the function?

• Shifts the graph down

• Shifts the graph to the right

• Shifts the graph to the left

• Shifts the graph up

What is the effect of parameter D on the graph?

• Vertical stretch

• Vertical shift

• Horizontal shift

• Vertical compression

What is the new vertical asymptote after the transformation?

• X = 1

• X = 0

• X = 7

• X = -1

What is the range of the transformed function?

• (-∞, 7]

• (-∞, 0) ∪ (0, ∞)

• (-∞, 7) ∪ (7, ∞)

• (-∞, 1) ∪ (1, ∞)