Question

Flying fish use their pectoral fins like airplane wings to glide through the air. Suppose a flying fish reaches a maximum height of 5 ft after flying a horizontal distance of 33 ft. Write a quadratic function y=a(x-h)^2+k that models the flight path assuming the fish leaves the water at (0,0). Describe how the changing value of a,h, or k affects the flight path

Answer 1

Equation:
`y= -0.00459*(x-33)^(2) + 5`

Explanation:

Using the value as height in axis y, and horizontal distance in axis x

`y=a*(x-h)^(2)+k\\  h=33\\k=5\\y=a*(x-33)^(2)+5`

X=0, Y=0

`y=a*(x-33)^(2)+5\\ 0=a*(0-33)^(2)+5\\a=-(5)/(33^(2) ) =-0.00459`

In the figure can see the motion of the fish while flying like airplane