Answer:
The equation of the parabola is given as:
x + (y - 4)^2 = 0
To find the bottom half of the parabola, you need to isolate y and solve for it. Let's rearrange the equation to do that:
(y - 4)^2 = -x
Now, take the square root of both sides:
y - 4 = ±√(-x)
Next, add 4 to both sides:
y = 4 ± √(-x)
Since the square root of a negative number is imaginary, this equation represents the bottom half of the parabola. It's a downward-opening parabola centered at (0, 4). The ± symbol indicates that there are two branches to the bottom half of the parabola—one for the positive square root and one for the negative square root. Both branches extend infinitely downward.
Explanation: