Question

Which of the following best describes the transformation that occurs when changing an equation from f(x)=x2+1
to f(x)=(x−3)2+1
?(1 point)

The graphed function would shift 3 units to the right and would be half as wide.

The graphed function would shift 3 units to the right but otherwise have the same shape.

The graphed function would shift 3 units to the left but otherwise have the same shape

The graphed function would shift units to the left and would be half as wide

Answer 1

"The graphed function would shift 3 units to the right but otherwise have the same shape."

Reason: replacing x by (x − 3) produces a horizontal shift right by 3; there is no vertical stretch or compression.