document.write( "Question 853902: Given the equation: f(x)=2x^2-3x+5 determine whether the graph opens up or down, the vertex of the equation, the axis of symmetry, y-intercepts and x intercepts, if and determine where the function is increasing and where it is decreasing.
\n" ); document.write( "Help would me be much appreciated. Very confused!
\n" ); document.write( "Thanks! \n" ); document.write( "

Algebra.Com's Answer #514341 by gateau052706(3) $\"\"$ $\"About$

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The parabola will open upwards because the equation starts positive versus negative. You then have to use the quadratic formula to solve.\r
\n" ); document.write( "\n" ); document.write( "To find vertex take (-b/2a, f(-b/2a)):
\n" ); document.write( "3/2*2 give you 3/4 or .75
\n" ); document.write( "plug that in for f(x).......f(.75)=2(.75)^2-3(.75)+5=3.875
\n" ); document.write( "So your vertex is (.75,3.875)
\n" ); document.write( "Stick a 0 in for x to find out y-int.....2(0)^2-3(0)+5. y-int = (0,5)
\n" ); document.write( "for x-int, you will need to factor. You get (x+1) and (2x-5), so x= -1 and 5/2 or 2.5 (-1,0) and (2.5,0) are your x-ints.
\n" ); document.write( "Since a>0 it will be decreasing (-inf.,.75] and increasing [.75,inf.)
\n" ); document.write( "AOS is x=.75, make sure you write the x= part, if not it will be wrong.\r
\n" ); document.write( "\n" ); document.write( "Hope this helps.
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