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The image shows a question on **horizontal translations of a function**, where \( f(x) = (x \pm h) \) for \( h > 0 \). It asks about the direction of graph shifts based on the value of \( h \).

Here is how horizontal translations work:
- If \( f(x) = (x - h) \), the graph shifts **right** by \( h \) units.
- If \( f(x) = (x + h) \), the graph shifts **left** by \( h \) units.

Now, to complete the blanks:
1. "If **+** \( h \), then the graph shifts left that many units."
2. "If **-** \( h \), then the graph shifts right that many units."

Would you like more details on how horizontal shifts work, or have any specific questions?

Here are 5 related questions you could explore:
1. How does a vertical shift affect a graph's equation?
2. What happens if you apply both a horizontal and vertical shift simultaneously?
3. How would you determine the direction of a shift if \( h \) is negative?
4. Can you combine shifts and stretches/compressions in a function?
5. What is the impact of horizontal translations on the graph's symmetry?

**Tip**: Remember that the direction of horizontal shifts is the opposite of the sign in the equation.

Horizontal translations f(x) = (x ± h) for h > 0. If __ h, then the graph shifts left that many units. If __ h, then the graph shifts right that many units.

Learn how horizontal translations work in the function f(x) = (x ± h) for h > 0. This explanation covers how to determine left and right shifts on a graph based on the value of h, a key concept in algebra for students in Grades 8-10.

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