The function f(x) = -x^2 - 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x) and what does it represent?

A. x = 5; the diver jumps in the pool at 5 feet per second

B. x = 10; the diver jumps in the pool at 10 feet per second

C. x = 10; the diver hits the water 10 feet horizontally from the board

D. x = 5; the diver hits the water 5 feet away horizontally from the board

Question

The function f(x) = -x^2 - 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x) and what does it represent?

A. x = 5; the diver jumps in the pool at 5 feet per second

B. x = 10; the diver jumps in the pool at 10 feet per second

C. x = 10; the diver hits the water 10 feet horizontally from the board

D. x = 5; the diver hits the water 5 feet away horizontally from the board

anonymous · Answer

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When you set the equation = 0 and solve you will get 2 answers:
1 is the theoretical starting point if he jumped from the ground, but we know he started at the top.
2 is when he hits the water.
x coordinate equals time
y coordinate = distand from water