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 left 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 right and would be half as wide.

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

Answer 1

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

Reason: replacing x with (x − 3) produces a horizontal shift right by 3; the coefficient of the squared term is still 1, so the width/shape is unchanged.