Step-by-step explanation:
The highest point of a parabola is at the vertex.
x = -b / (2a)
x = -1 / (2×-0.0023)
x ≈ 217.4
y = (217.4) − 0.0023 (217.4)²
y ≈ 108.7
The horizontal distance can be found when the potato lands (y=0):
0 = x − 0.0023x²
0 = x (1 − 0.0023x)
x = 0, x ≈ 434.8
So the potato reaches a maximum height of 108.7 m and travels a horizontal distance of 434.8 m.
