Vavilen inflated a huge balloon in 191919 minutes. Then he poked a hole in the balloon so that it slowly leaked air out until it was completely deflated. The rate at which the air leaked out of the balloon (in liters of air per minute) was half of the rate at which Vavilen inflated the balloon. It took the balloon 383838 minutes to completely deflate.
At what rate did Vavilen inflate the balloon, and at what rate did the balloon deflate?

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step-by-step explanation:

ez

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

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step-by-step explanation: