The height, y m, of a baseball above the ground x seconds after it has been hit is given by y = -5x^2 + 20x + c, where c is a constant.
+37157 This equation is a dome shaped parabola maximum will occur at the vertex
the roots of the equation should be = and at the vetex for the max value
this will require that the discriminant = 0
50 > -5x^2 + 20x + c
-5x^2 + 20 x + c-50 < 0
find when discr = 0
20^2 - 4(-5)(c-50) = 0
400 + 20c - 1000 = 0
20c = 600
c = 30 max for fxn to = 50 so c<30
y = -5x^2 +20x + 20
-5 ( x^2 -4) + 20
-5 ( x -2)2 +20 + 20
y= - 5 ( x-2)^2 + 40
You can do part iii
