Advanced Algebra 1

Question

When Joey dives off a diving board, the equation of his pathway can be modeled by h=-16t^2+15t+12. A.Find Joey’s maximum height. B.Find the time it will take

I know how to do it, but I just don't understand the way my teacher taught me. Are there any easier ways to solve this?

Answer 1

The maximum height will be at the vertex of this downward parabola

The x coordinate of the vertex will represent the time it takes. This is at -b/2a= -15/-32

If you substitute this value for t in the original equation you will get the maximum height