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
The flight is in the shape of a parabola with a vertex 5 feet above the water and 1/2 * 33 = 16.5 feet horizontally from the point of leaving the water
y = a(x - h)^2 + k
where (h,k) is the vertex of the parabola and here it is (5 , 16.5), so we have the function:-
Since the speed limit is 35 mph and the car is 10 mph over the speed, we can add them to find out how fast the car is going. We can solve 35+10 which will give us 45. So it is not a sum of 0 but instead a sum of 45.