pre-calc

posted by .

path of a frogs leap: a frog leaps from a box 3 feet high and lands 4 feet from the base of the stump. we can consider the initial position of the frog to be at (0,3) and its landing position to be at (4,0). it is determined that the height of the frog as a function of its horizontal distance x from the base of the box is given by: h(x)=-0.5x^2+1.25x+3 where x and h(x) are both in feet.

a)how high was the frog when its horizontal distances from the base of the box was 2 feet?
b)at what two horizontal distances from the base of the box was the frog 3.25 feet above the ground?
c)at what horizontal distance from the base of the box did the frog reach its highest point?
d) what was the maximum height reached by the frog?

  • pre-calc -

    h(x)=-0.5x^2+1.25x+3

    h(2) = 3.5

    3.25 = -0.5x^2+1.25x+3
    -0.5x^2+1.25x-.25 = 0
    x = .22 (going up) or 2.28 (coming down)

    a parabola reaches its vertex when x = -b/2a = -1.25/-1 = 1.25

    h(1.25) = 3.781

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    a Frog is at the bottom of a 21 foot well. The frog jumps up 4 feet, and then falls back 2 feet. How many jumps will it take for the frong to jump out of the well?
  2. +1 SCIENCE PHYSICS

    A FROG SAW AN INSECT ON THE GROUND AT A HORIZONTAL DISTANCE OF 30 METER FROM IT. THE FROG CAN JUMP WITH A SPEED 20 METER/SECOND IN ANY DIRECTION. IT JUMPS WITH HIS INITIAL SPEED AND LAND ON THE INSECT. A: WHAT IS THA TYPE OF MOSSION …
  3. Algebra

    To determine the question use Frogs F and G are 5cm to cube and 40cm to cube. a. Ratio What are ratio volumes and surface areas for a frog?
  4. Algebra

    To determine the question use Frogs F and G are 5cm to cube and 40cm to cube. a. Ratio What are ratio volumes and surface areas for a frog?
  5. Algebra

    To determine the question use Frogs F and G are 5cm to cube and 40cm to cube. a. Ratio What are ratio volumes and surface areas for a frog?
  6. Math

    To determine the question use Frogs F and G are 5cm to cube and 40cm to cube. a. Ratio What are ratio volumes and surface areas for a frog?
  7. biology

    In a chorus of male frogs of one species, which would be considered by evolutionary biologists to be the fittest?
  8. Algebra (word problems)

    Studying help! Flights of leaping animals typically have parabolic paths. The figure illustrates a frog jump superimposed on a coordinate plane. The length of the leap is 9 feet, and the maximum height off the ground is 3a feet. Find …
  9. Math

    Flights of leaping animals typically have parabolic paths. The figure illustrates a frog jump superimposed on a coordinate plane. The length of the leap is 9 feet, and the maximum height off the ground is 3a feet. Find a standard equation …
  10. math

    There's a frog at the bottom of a 30-foot well. The frog will rise 3 feet in the morning & would slid down 2 feet in the evening. If the frog will start on February 1, what date will it reach the top?

More Similar Questions