Aball is shot up in the air and its height, h, above the ground in feet is given by the function h(x)= -16x^2 + 44x, where x is the number of seconds the ball has been in flight. find the maximum height that the ball attains. round your answer to the hundredths place.

So the maximum height is another word for vertex's y-coordinate. The easiest method to find the vertex is to find the axis of symmetry for the x-coordinate and then plug the axis of symmetry into the equation to solve for y.

Firstly, the equation for the axis of symmetry is , with b = x coefficient and a = x^2 coefficient. Using our equation, we can solve for the axis of symmetry as such:

Now that we have the x-coordinate, plug it into x and solve for y:

In short, the maximum height is 90.75.

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.