02-06-2016
Mathematics

Answered

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

Verified Answer :

Ckaranja Ckaranja

16-06-2016

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)

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