A point is translated on the coordinate plane from (5, 6) to (3, 6). Peter writes the function

Question

f(x) = x + h to describe the translation. What is the value of h? (1 point)
The value of h is

Answer 1

To determine the value of \( h \) in the function \( f(x) = x + h \) that describes the translation of the point from \( (5, 6) \) to \( (3, 6) \), we focus on the x-coordinates.

The original x-coordinate is 5 and the new x-coordinate after the translation is 3. The function \( f(x) \) describes how the x-coordinate changes, so we can express it as:

\[ f(5) = 5 + h \]

We want this to equal the new x-coordinate:

\[ f(5) = 3 \]

Setting the equation gives us:

\[ 5 + h = 3 \]

To solve for \( h \):

\[ h = 3 - 5 \] \[ h = -2 \]

Thus, the value of \( h \) is \(\boxed{-2}\).