Vertical Shift: Find y = -(x-6)² + 4 After Translation

To solve this problem, we'll follow these steps:

• Step 1: Identify the original function.
• Step 2: Apply the vertical transformation.
• Step 3: Confirm the new function equation matches a given choice.

Now, let's work through each step:
Step 1: The initial function is $y = -(x-6)^2$. This represents a parabola that opens downward, vertex at (6,0).
Step 2: To shift the graph of the function 4 units up, we add 4 to the entire function:
$y = -(x-6)^2 + 4$.
Step 3: Review the provided choices to find the match:
- Choice 4: $y=-(x-6)^2+4$.
This matches our transformation result.

Therefore, the solution to the problem is $y = -(x-6)^2 + 4$.