document.write( "Question 263933: The height of a projectile fired vertically into the air at an initial velocity of 160 feet per second is a function of time, x, and is given by the equation
\n" ); document.write( "f(x) = 160x – 16x2
\n" ); document.write( "I need help finding the highest point reached by the projectile. I just have no idea how to work this equation in order to do this.\r
\n" ); document.write( "\n" ); document.write( "Your help would be greatly appreciated! \r
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Algebra.Com's Answer #194417 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Hint: the highest point will be at the vertex of $\"f%28x%29=160x-16x%5E2\"$ . The vertex is the point (h,k) where $\"h=-b%2F%282a%29\"$ and $\"k=f%28h%29\"$ . From the equation $\"f%28x%29=160x-16x%5E2\"$ , we can see that $\"a=-16\"$ and $\"b=160\"$ . Plug these values into $\"h=-b%2F%282a%29\"$ to find h (the x coordinate of the vertex). Once you have this x value, plug it into $\"f%28x%29=160x-16x%5E2\"$ to find k (the y coordinate of the vertex).\r
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\n" ); document.write( "\n" ); document.write( "It turns out that the highest point will be the y coordinate of the vertex. So once you find the y coordinate of the vertex, you will find the highest point. \n" ); document.write( "

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