SOLUTION: I would appreciate help solving this question: A section of a roller coaster ride is described by the equation y = 0.005x^2 -2x +200 where y represents the vertical distance in

Question 463928: I would appreciate help solving this question:
A section of a roller coaster ride is described by the equation y = 0.005x^2 -2x +200 where y represents the vertical distance in feet and x represents the horizontal distance in feet. At what value of x will the track turn upwards?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
By "looking" at:
y = 0.005x^2 -2x +200
we know that it is a parabola that opens upwards (because of the positive coefficient associated with the x^2 term).
So, the vertex would be the lowest point and where it would turn upwards:
x = -b/(2a)
x = -(-2)/(2*0.005)
x = 2/0.010
x = 200 (this is what they're looking for)

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