Write the function whose graph is the graph of y equals StartRoot x EndRoot​, but is shifted up 4 units.

To write the function whose graph is the same as \( y = \sqrt{x} \), but shifted up 4 units, you add 4 to the original function. This shifts the graph vertically.

The function would be:

\[
y = \sqrt{x} + 4
\]

### Explanation:
- The original function is \( y = \sqrt{x} \), which is the graph of the square root of \( x \).
- To shift a graph vertically, you add or subtract a constant. Adding a constant shifts the graph **up**. In this case, adding 4 shifts the graph up by 4 units.

Would you like further details on graph transformations or have any other questions?

Here are some related questions:
1. How do you shift a graph down by a certain number of units?
2. How would you shift \( y = \sqrt{x} \) to the right by 3 units?
3. What happens to the graph of \( y = \sqrt{x} \) when you multiply it by a negative number?
4. How do vertical stretches affect the graph of \( y = \sqrt{x} \)?
5. Can you explain how to shift a function both horizontally and vertically at the same time?

**Tip:** To shift a graph horizontally, you modify the variable inside the function, but to shift vertically, you modify the function itself by adding or subtracting constants.

Learn how to transform the graph of the square root function y = √x by shifting it up 4 units. This detailed solution explains the concept of vertical shifts and provides key formulas and graph transformation techniques. Suitable for students in Grades 8-10.

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