Question

Use the image to answer the question.

Two curves drawn on coordinate plane. Both axes range from negative 5 to 5 in unit increment.
▶Click for Long Desc

The original function y=f(x)
in the graph (solid line) goes through the point (1,1)
and is translated using a horizontal translation. Where is this point located after the translation, and what is the translated function?

(1 point)

The point is located at (3,1)
, and the translated function is y=f(x−2)
.

The point is located at (1,1)
, and the translated function is y=f(x−2)
.

The point is located at (3,1)
, and the translated function is y=f(x+2)
.

The point is located at (1,3)
, and the translated function is y=f(x−2)
.

Answer 1

The point moves to (3, 1), and the translated function is y = f(x − 2).

Explanation: a horizontal shift right 2 sends (1,1) → (3,1), and shifting f right by 2 gives y = f(x−2).