<PRE><B>Question 72951</B>
A snowball is thrown into the air and its path can be modeled by the equation y=-x^2+6x+7 where y represents the vertical height in feet and x represents the horizontal distance in feet 
(a) Factor the equation above into two binomials
-x^2+6x+7= -(x^2-6x-7)= -(x-7)(x+1)
(b) Use the factors above to determine how far the snowball was thrown
The height is zero when x=7 ft so it is on the ground after traveling 7 ft.
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(c) Briefly explain how you can use a graph to check your answers in part b
Graph the equation:
{{{graph(400,300,-2,10,-5,30,-x^2+6x+7)}}}
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(d) The ball reaches its highest point after it travels 3 feet horizontally. Use the equation above and show algebraically how to find the height of the ball at this point.
Find f(3) = -3^2+6*3+7
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Cheers,
Stan H.
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