https://file.aiquickdraw.com/mathbot/file/1730138296514ouwudg7y.jpg

The problem shows two functions:

\[
f(x) = 2^x
\]
and
\[
g(x) = 2^x - 3
\]

The question asks which transformation maps \( f(x) \) onto \( g(x) \).

### Solution:
We can see that \( g(x) \) is the same as \( f(x) \) but shifted **down by 3** units. This is because the term \( -3 \) subtracts 3 from the value of \( f(x) \), which means the whole graph of \( f(x) \) is shifted downward by 3 units.

Thus, the correct answer is:
- **A shift down 3**

Would you like a detailed explanation of function transformations, or do you have any questions?

### Related Questions:
1. What is a vertical shift in function transformations?
2. How does adding or subtracting constants to functions affect their graphs?
3. Can a function be shifted both vertically and horizontally at the same time?
4. What does a horizontal shift look like for exponential functions?
5. How would the transformation change if the term were \( +3 \) instead of \( -3 \)?

#### Tip:
When analyzing transformations, focus on how constants added or subtracted inside or outside the function affect its graph.

Consider the equations shown.
f(x) = 2^x
g(x) = 2^x - 3
Which transformation will map f(x) onto g(x)?

Understand the transformation from f(x) = 2^x to g(x) = 2^x - 3, identifying a vertical shift. This problem is ideal for Algebra students learning function transformations in Grade 9.

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