document.write( "Question 574849: Graph y = 3x - x^2. need to find the y. Use the values of x provided in the table to find the y values.How do i find the y values??? and How do I graph this? Help Me If you Can. Thank You
\n" ); document.write( "x
\n" ); document.write( "-2
\n" ); document.write( "-1
\n" ); document.write( "0
\n" ); document.write( "1
\n" ); document.write( "2
\n" ); document.write( "3
\n" ); document.write( "4
\n" ); document.write( "5 \n" ); document.write( "
Algebra.Com's Answer #369328 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
You find the y values by \"plugging in\" the x values in the formula for the function.
\n" ); document.write( "Your function is \"y=3x-x%5E2\"
\n" ); document.write( "For x=-2, \"y=3%2A%28-2%29-%28-2%29%5E2=-6-4=-10\"
\n" ); document.write( "For x=-1, \"y=3%2A%28-1%29-%28-1%29%5E2=-3-1=-4\"
\n" ); document.write( "For x=0, \"y=3%2A0-0%5E2=0-0=0\"
\n" ); document.write( "For x=1, \"y=3%2A1-1%5E2=3-1=2\"
\n" ); document.write( "For x=2, \"y=3%2A2-2%5E2=6-4=2\"
\n" ); document.write( "and so on.
\n" ); document.write( "You will find out that the y value you get for x=2 is the same as you had for x=1; the value for x=3 is the same for x=0; the value for x=4 is the same as for x=-1, and the value for x-5 is the same as for x=-2. The function is symmetrical, with a maximum y value at x=3/2 (not in your table). The graph goes up from x=-2 to x=3/2, and then goes back down making a pretty arch shape. That shape is called a parabola.
\n" ); document.write( "To graph functions it is best to have grid paper, with a grid made up of all those little squares.
\n" ); document.write( "You need to fit points with x values from x=-2 to x=5 and y values ranging from y=-10 to y=2, so you want to draw the x axis and the y axis to cover those vales. You may start with something like this:
\n" ); document.write( "\"drawing%28240%2C300%2C-3%2C6%2C-11%2C3%2C%0D%0Agrid%281%29%29\" If your teacher requires arrowheads and x or y markings at both ends of the x and y axes, try not to forget that, so you do not lose grade points.
\n" ); document.write( "Next you would plot each x-y value pair you found as a point.
\n" ); document.write( "Those points are going to be connected by a hand-drawn smooth curve next. Your teacher may or may not want the points to be marked so they are visible under the curve. If you were to mark the points with a little navy blue circle around them, the points would look like this:
\n" ); document.write( " Next step is just connecting those points into a nice looking arch. \n" ); document.write( "
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