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 distanceof 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 hoe the changing value of a,h, or k affects the flight path

Answer 1

*how* sorry

Answer 2

raaawwwwrrrr i need heeelllpppp!!!!!

Answer 3

:(

Answer 4

poo

Answer 5

well you want the total distance to be 33 feet, so that is the distance between the two x-intercepts will be 33 feet. you also know that one of these x intercepts is at the point (0,0) and therefore the other one would be at the point (33,0). You also know that the parabola must open down, and the maximum height is 5. So just plug everything in and you will get an answer.

Answer 6

another good thing to do is recognize that the parabola must be shifted half of the horizontal distance (33/2) to the right. then you can ignore that x-intercept stuff. you just need to make a downward opening parabola shifted 33/2 to either the left or right with a constant value 0f 5 added to it.

Answer 7

oh sorry, obviously you still need to get the width right.

Answer 8

are you still here?

Answer 9

alright well I am done my homework so going to bed. I quickly sketched this up in case you are still interested. The answer is \[y=\frac{20}{33^2}\left(x-\frac{33}{2}\right)^2+5\]