document.write( "Question 409294: Determine root of the equation f (x) = 5 + 2x − 3x2 and sketch the position of the
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Algebra.Com's Answer #288152 by lwsshak3(11628) $\"\"$ $\"About$

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Determine root of the equation f (x) = 5 + 2x - 3x^2 and sketch the position of the parabola\r
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\n" ); document.write( "\n" ); document.write( "y=5+2x-3x^2
\n" ); document.write( " =-3x^2+2x+5
\n" ); document.write( "completing the square to put equation into standard form, y=(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex.
\n" ); document.write( " =-3(x^2+(2/3)x+1/9)5+1/3
\n" ); document.write( " =-3(x+(1/3))^2+16/3
\n" ); document.write( "This is a parabola which opens downward with vertex at (1/3,16/3)
\n" ); document.write( "Solving for roots:set y=0 and solve for x
\n" ); document.write( "0=-3x^2+2x+5 or
\n" ); document.write( "3x^2-2x-5=0
\n" ); document.write( "(3x-5)(x+1)
\n" ); document.write( "x=5/3
\n" ); document.write( "x=-1\r
\n" ); document.write( "\n" ); document.write( "see graph of given parabola below:\r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-3x%5E2%2B2x%2B5%29+\"$ \n" ); document.write( "

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