1. A frog leaps from a stump 4 feet high and lands 6 feet from the base of the
stump. We can consider the initial position of the frog to be at (0, 4) and its landing
position to be at (6, 0). It is determined that the height of the frog as a function of
its horizontal distance x from the base of the stump is given by
1
4
h(x) = -x².
x²+x+4, where x and h(x) are both in feet. After how many feet did it
reach its maximum height? What was the frog's maximum height?

Question

07-12-2022
Mathematics

Answered

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1. A frog leaps from a stump 4 feet high and lands 6 feet from the base of the
stump. We can consider the initial position of the frog to be at (0, 4) and its landing
position to be at (6, 0). It is determined that the height of the frog as a function of
its horizontal distance x from the base of the stump is given by
1
4
h(x) = -x².
x²+x+4, where x and h(x) are both in feet. After how many feet did it
reach its maximum height? What was the frog's maximum height?

Sagot :

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