To determine the value of \( h \) in the function \( f(x) = x + h \) for the translation from the point \( (5, 6) \) to the point \( (3, 6) \), we can start by focusing on the change in the \( x \)-coordinate.
Initially, the point is at \( (5, 6) \). After the translation, the \( x \)-coordinate becomes \( 3 \). This means the translation takes place in the \( x \)-direction.
We can represent this translation mathematically by finding out how much we need to adjust the \( x \)-coordinate from \( 5 \) to \( 3 \):
\[ 3 = 5 + h \]
To isolate \( h \), we can rearrange the equation:
\[ h = 3 - 5 \] \[ h = -2 \]
Thus, the value of \( h \) is \( -2 \). The final answer is:
The value of \( h \) is \(-2\).
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