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The first question on page 6 in your document is from **Module 1: Lesson 1** and it is as follows:

**1. Use the graph to answer the following questions.**

- (2 marks) Provide an equation for the function in the form \( y = g(x) \), \( y = f(x - h) + k \).
- Then, clearly describe what each of the ‘h’ values and ‘k’ values are doing to \( f(x) \).

If you have a specific graph or need help interpreting the graph for this question, feel free to upload the relevant image, and I'll assist you further!

Would you like a breakdown of how to approach this problem, or do you have any specific questions about the transformations? 

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Here are 5 questions that expand on this topic:
1. What is the effect of a horizontal shift \( h \) on the graph of a function?
2. How does the value of \( k \) affect the vertical position of a graph?
3. How can you determine the direction of a translation from the function's equation?
4. What happens to the graph of \( f(x) \) when both \( h \) and \( k \) are zero?
5. How do stretches differ from translations in graph transformations?

**Tip**: Remember, the value of \( h \) in \( f(x-h) \) causes a horizontal shift in the opposite direction of the sign.

Learn how to solve a function transformation problem involving horizontal and vertical translations. This problem covers key concepts of function transformations and uses the equation y = f(x - h) + k to explain the shifts.

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