Question

You throw a rock and the equation of the function that models the height as a function
of time is h (t) = -16t² +32t+6. Explain how you find the maximum height of the
rock.

Answer 1

The maximum height is 22.

What is quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0.

Given:

h (t) = -16t² +32t+6.

Now,

h(t)= -16( t² -2t) +6

h(t) =  -16( t² -2t +1²) +6 +16

h(t) = -16 (t-1) ² + 22

Now, comparing to h(t)= a( t-j)² + K

Hence, the maximum height is 22.

Learn more about this concept here:

https://brainly.com/question/3838718

#SPJ1