Question

A point is translated on the coordinate plane from (5,6) to (3,6) . Peter writes the function f(x)=x+h to describe the translation. What is the value of h?(1 point) The value of h is

Answer 1

To find the value of \( h \) in the function \( f(x) = x + h \) that describes the translation from the point (5, 6) to (3, 6), we need to focus on the x-coordinates since the y-coordinate remains the same.

The initial point is (5, 6) and the final point is (3, 6). The x-coordinates are changing from \( 5 \) to \( 3 \).

We can express this as follows:

\[
f(5) = 3
\]

Substituting into the function:

\[
5 + h = 3
\]

To solve for \( h \), we subtract 5 from both sides:

\[
h = 3 - 5
\]

\[
h = -2
\]

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