Y=-16X^2+100X+6 where x is the time in seconds and Y is the height in feet.

find the zeros of the function?
What do the zeros represent and are they realistic? and about how high does the rocket fly before hitting the ground?

1 answer

solve
16x^2 - 100x - 6 = 0
x = (100 ± √(100^2-4(16)(-6))/32
= 6.31 or -0.06

Only the positive time makes sense.

the vertex will be the midway time between the 2 above, which is 3.13

sub that into y = ..
to get the maximum height.