finding the parabolic path

Question

2. A projectile follows a parabolic path whose height, in meters, is given by the function f(x) = -x^2 + 2x + 2. Find the maximum horizontal distance that the p

Answer 1

The last part of the question got cut off somehow.

 

However, largest horizontal distance is probably given by the value of x that makes the quadratic function zero.

 

 -x² + 2 x + 2 = 0.          According to the quadratic formula, the solutions for x are

 

   x = 1 + sqrt(3) and   x = 1 - sqrt(3).   Only the first one is positive, so x = 1 + sqrt(3)

 

The x value yielding the highest value of the function is  x = 1, where the function reaches the value 3.