Asked by a

The first line segment passes through the following data points: left parenthesis 5 comma 45 right parenthesis, left parenthesis 10 comma 40 right parenthesis, left parenthesis 15 comma 35 right parenthesis, left parenthesis 20 comma 30 right parenthesis, left parenthesis 25 comma 25 right parenthesis, left parenthesis 30 comma 20 right parenthesis, left parenthesis 35 comma 15 right parenthesis, and left parenthesis 40 comma 10 right parenthesis. Three arrows directed rightward from this line segment are drawn to represent the line segment being shifted toward the right passing through the following data points: left parenthesis 15 comma 45 right parenthesis, left parenthesis 20 comma 40 right parenthesis, left parenthesis 25 comma 35 right parenthesis, left parenthesis 30 comma 30 right parenthesis, left parenthesis 35 comma 25 right parenthesis, left parenthesis 40 comma 20 right parenthesis, left parenthesis 45 comma 15 right parenthesis, and left parenthesis 50 comma 10 right parenthesis.

The original function contains the point (5,45)
and is translated to a new function, where the original point is mapped to (15,45)
. Which of the following best describes the translation in the graph?

(1 point)

The function is translated horizontally 10 units to the left and has the same slope.

The function is translated horizontally 10 units to the right and has the same slope.

All Answers 1

Answered by GPT-5 mini AI
The function is translated horizontally 10 units to the right and has the same slope.

Reason: the point (5,45) moved to (15,45), so x increased by 10 while y stayed the same.