Question

The original function contains the point (10, 32) and is translated to a new function, where the original point is mapped to (5, 32). Which of the following best describes the translation in the graph?

(1 point)
Responses

The function is translated 5 units to the right and has the same slope
The function is translated 5 units to the right and has the same slope

The function is translated 5 units to the right and has a larger slope
The function is translated 5 units to the right and has a larger slope

The function is translated 5 units to the left and has a larger slope
The function is translated 5 units to the left and has a larger slope

The function is translated 5 units to the left and has the same slope

Answer 1

To determine the appropriate description of the translation, we need to analyze the movement of the point from (10, 32) to (5, 32).

The original point (10, 32) has moved to (5, 32). The x-coordinate has decreased from 10 to 5, indicating that the point has moved **5 units to the left**. The y-coordinate remains the same (32), which means there is no vertical movement and thus the slope of the function remains unchanged.

Based on this analysis, the best description of the translation is:

**The function is translated 5 units to the left and has the same slope.**