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?

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 need to focus on the \( x \)-coordinates.

The original \( x \)-coordinate is 5, and the new \( x \)-coordinate after translation is 3. Thus, we can express this translation mathematically as:

\[
f(5) = 3
\]

Substituting into the function gives:

\[
5 + h = 3
\]

To find \( h \), we solve the equation:

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

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