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To solve the problem of determining the equation for the transformed function when the original function \( f(x) = \sqrt{x} \) is shifted left by 1 unit, we need to understand how horizontal shifts affect the function.

### Transformation Explanation:
When a function \( f(x) \) is shifted to the left by \( h \) units, the new function can be written as:
\[
f(x + h)
\]
In this case, since the function is shifted left by 1 unit, the transformed function will be:
\[
f(x + 1)
\]
Substituting the original function \( f(x) = \sqrt{x} \) into this, we get:
\[
f(x + 1) = \sqrt{x + 1}
\]

### Final Answer:
The equation for the transformed function is:
\[
\boxed{f(x) = \sqrt{x + 1}}
\]

Would you like to go into more details or have any questions? 

Here are some related questions to explore further:

1. What is the effect on the graph when the function is shifted right by 1 unit instead?
2. How does shifting the function up or down affect the equation?
3. What is the general formula for shifting a function horizontally by any number of units?
4. How does the domain of \( \sqrt{x} \) change after the transformation?
5. Can we apply multiple transformations to \( f(x) \)? How would you describe the transformation if the function is shifted left by 1 and down by 2?

**Tip:** When shifting functions horizontally, the direction of the shift is opposite the sign inside the function's argument.

Toolkit Function: f(x) = √x Transformation Description: Left 1 What is the equation for the transformed function?

Discover the equation for the transformed function when the square root function f(x) = √x is shifted to the left by 1 unit. Learn about horizontal shifts in function transformations, suitable for students in Grades 9-10.

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