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Mathematics 13 Online
OpenStudy (anonymous):

A softball is thrown up into the air. The ball's height in feet is modeled by the equation h(t) = -16t2 + 32t + 5. h = height t = time in seconds Find the maximum height of the ball

OpenStudy (zale101):

what can you tell from this equation. Does it go upward or downward?

OpenStudy (anonymous):

up

OpenStudy (zale101):

why?

OpenStudy (zale101):

i see a negative sign, so the parabola has to open downward -16t2 + 32t + 5

OpenStudy (anonymous):

oh yea i didnt see that

OpenStudy (zale101):

first step, set the equation into the standard form: y=-a(x-h)^2+k, where (h,k) = (x,y) which is the vertex coordinates

OpenStudy (zale101):

and that is by completing the square

OpenStudy (zale101):

we already know that the equation opens downwards because the equation has -a which is -16 but we need to find its vertex by changing the equation into the vertex standard form

OpenStudy (anonymous):

how you know whats x and y

OpenStudy (zale101):

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