Question

The function (x) = -0.3(x-4)² + 4.8 models a

boy's jump into a swimming pool, where x is the
horizontal distance traveled (in feet) and h(x) is
the height (in feet) above the water. When the boy
jumps from a higher platform, he lands 6 feet
farther away. Write a function that models the
second jump.

Answer 1

To model the second jump where the boy lands 6 feet farther away, we need to adjust the horizontal distance, x, by adding 6 feet to it.

Step-by-step explanation:

The function h(x) = -0.3(x-4)² + 4.8 represents the boy's first jump into the swimming pool. To model the second jump where the boy lands 6 feet farther away, we need to adjust the horizontal distance, x, by adding 6 feet to it. Therefore, the function that models the second jump would be h(x+6) = -0.3(x+6-4)² + 4.8.

Learn more about Modeling a boy's jumps into a swimming pool