Translating the reciprocal function to sketch it's graph

The video tutorial explains how to graph a reciprocal function using transformations. It covers the concept of transformations, including shifts and asymptotes, and how they affect the graph. The tutorial also discusses the parent graph of a reciprocal function and how to determine the domain and range. The instructor guides students through the process of applying transformations to graph the function and identify the domain and range, emphasizing the importance of understanding asymptotes.

What is the general form of a transformed reciprocal function?

• F(x) = a * (x + h) - k

• F(x) = a * 1/(x - h) + k

• F(x) = a * (x - h) + k

• F(x) = a * 1/(x + h) - k

Which parameter in the transformation indicates a vertical shift?

• a

• h

• k

• x

If a reciprocal function is shifted 3 units left, what happens to the vertical asymptote?

• It moves 3 units left

• It moves 3 units up

• It remains unchanged

• It moves 3 units right

What is the new horizontal asymptote if the graph is shifted 3 units down?

• y = 3

• y = -3

• y = 0

• y = -6

Which x-value is excluded from the domain of the transformed function?

• x = -3

• x = 0

• x = 1

• x = 3

What is the range of the transformed function?

• All real numbers except y = 1

• All real numbers except y = 3

• All real numbers except y = -3

• All real numbers except y = 0

Why can't x equal -3 in the domain of the function?

• It makes the numerator zero

• It makes the denominator zero

• It results in a horizontal shift

• It causes a vertical stretch