To translate a point or a function horizontally, you adjust the x-coordinate. In this case, we need to translate 10.5 units left.
If we have a point \((x, y)\) and we translate it 10.5 units to the left, the new coordinates will be:
\[ (x', y) = (x - 10.5, y) \]
If we have a function \(f(x)\), the translated function \(g(x)\) will be:
\[ g(x) = f(x + 10.5) \]
This accounts for the leftward shift because you subtract from the x-value inside the function's argument.
Final Equation Forms:
- For a point: \((x', y) = (x - 10.5, y)\)
- For a function: \(g(x) = f(x + 10.5)\)
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