Translating the reciprocal function to sketch it's graph

What is the general form of a transformed reciprocal function?

• F(x) = a * (x + h) - k

• F(x) = a * (x - h) + k

• F(x) = a * 1 / (x - h) + k

• F(x) = a / (x + h) - k

Which parameter in the transformation indicates a vertical shift?

• h

• a

• x

• k

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

• It moves 3 units left

• It moves 3 units right

• It remains unchanged

• It moves 3 units up

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

• y = 3

• y = 0

• y = -6

• y = -3

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

• x = 3

• x = 0

• x = -3

• x = 1

What is the range of the transformed function?

• All real numbers except y = 1

• All real numbers except y = 0

• All real numbers except y = 3

• All real numbers except y = -3

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

• It causes a horizontal shift

• It makes the numerator zero

• It causes a vertical stretch

• It makes the denominator zero