if the equation is h= -2x^2 + 12x -10how do i find the max height?

One other way to solve this question is finding the derivative





now we have to find when this function will be zero





now we just replace this value at our initial function

The maximum height is the ordinate value of the vertex of the parabola, ie: yV

Calculating yV:

Ican't do any of the other stuff, but i can get you started. the answer, i believe, is $2.50.