Question

A point is translated on the coordinate plane from (10, 4) to (5, 4). Jake wrote the function f(x)=x+h to describe the translation. What is the value of h?(1 point)
Responses

-2
-2

5
5

-5
-5

0

Answer 1

To determine the value of \( h \) in the function \( f(x) = x + h \) that describes the translation of the point from (10, 4) to (5, 4), we can set up the problem as follows:

1. The original point is (10, 4).
2. The translated point is (5, 4).

Since the y-coordinate remains the same (4), we only need to consider the x-coordinate for the function.

The translation is from \( x = 10 \) to \( x = 5 \). The change in the x-coordinate can be calculated as:

\[
\text{Change} = \text{New x} - \text{Old x} = 5 - 10 = -5
\]

This means that to achieve this translation, we need to subtract 5 from the x-coordinate. Thus, we can express the translation function as:

\[
f(x) = x - 5
\]

In this case, \( h \) corresponds to \(-5\). Therefore, the value of \( h \) is:

\[
\boxed{-5}
\]