Question

a bottle rocket that was made in science class has a trajectory path that followed the quadratic equation y equals negative x squared + 4x + 6 what is the turning point of the Rockets

Answer 1

Y= $-x^{2}$+4x+6

Turning points occur when the gradient of the function is zero.
$\frac{dy}{dx} =$-2x+4
Then equating to 0;
-2x+4=0
-2x=-4
x=2

From the fucntion, when x=2 ;
y=$-(2)^{2}+4(2) +6$
y=-8+8+6
y=6
Turning point;
(2,6)