document.write( "Question 422863: What are the coordinates of the turning point of the parabola whose equation is y=-x^2+4x+1 \n" ); document.write( "

Algebra.Com's Answer #295078 by htmentor(1343) $\"\"$ $\"About$

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The turning point (vertex) is the point where the derivative is equal to zero.
\n" ); document.write( "Thus dy/dx = 0 = -2x + 4 -> x = 2
\n" ); document.write( "The value of the y coordinate at this value of x is y = -(2)^2 + 4*2 + 1 = 5
\n" ); document.write( "Ans: turning point = (2,5)
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