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.