The function f(x) = −x2 − 9x + 36 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?
x = 3; the diver jumps in the pool at 3 feet per second
x = 3; the diver hits the water 3 feet away horizontally from the board
x = 12; the diver hits the water 12 feet horizontally from the board
x = 12; the diver jumps in the pool at 12 feet per second

Respuesta :

Factor your polynomial to find the zero. When you factor that you get x values of -12 and 3. Because x is a horizontal value representing feet, x = 3 means that he hits the water 3 feet away horizontally from the board. He starts at 36 feet above the pool and has an upwards vertical velocity of 9 feet per second. Your answer, however, is the first choice above.