document.write( "Question 92259: Hello,\r
\n" ); document.write( "\n" ); document.write( "As far as I know these are not text book problems. These problems were on an exam and I do not know where to start them how to start them any of that good stuff. Hoping someone can help me.\r
\n" ); document.write( "\n" ); document.write( "Here is the first problem...
\n" ); document.write( "Identify the axis of symmetry, create a suitable table of values, and then sketch the graph (including the axis of symmetry).\r
\n" ); document.write( "\n" ); document.write( "y = –x^2 + 3x – 3\r
\n" ); document.write( "\n" ); document.write( "I need to know what to do where to start all of it. At this point I am just soo confused.\r
\n" ); document.write( "\n" ); document.write( "Second problem is similar to the first.\r
\n" ); document.write( "\n" ); document.write( "Identify the axis of symmetry, create a suitable table of values, and then sketch the graph (including the axis of symmetry).\r
\n" ); document.write( "\n" ); document.write( "y = x^2 – 4x\r
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\n" ); document.write( "\n" ); document.write( "Can anyone help me with these problems. If so I will be soooo greatful... I need all the help I can get, I have one week left in my current math class and at this point I have a failing grade. Please Help.
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Algebra.Com's Answer #67114 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Identify the axis of symmetry, create a suitable table of values, and then sketch the graph (including the axis of symmetry).
\n" ); document.write( "y = –x^2 + 3x – 3
\n" ); document.write( "Complete the square on the x-terms as follows:
\n" ); document.write( "x^2-3x+? = -(y+3)+?
\n" ); document.write( "? = [ (1/2) the coefficient of the 1st degree term]^2 :
\n" ); document.write( "? = [(1/2)(-3)]^2 = 9/4
\n" ); document.write( "Replace ? with 9/4 to get:
\n" ); document.write( "x^2-3x+(9/4) = -y-3+(9/4)
\n" ); document.write( "Factor the left side ; simplify the right side to get:
\n" ); document.write( "(x-(3/2))^2 = -y-(3/4)
\n" ); document.write( "(x-(3/2))^2 = -(y+(3/4))
\n" ); document.write( "This form shows you the vertex and axis of symmetry of the parabola
\n" ); document.write( "The vertex is ((3/2),(-3/4))
\n" ); document.write( "The axis of symmetry is x=(3/2)
\n" ); document.write( "\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%5E2%2B3x-3%29\"
\n" ); document.write( "--------
\n" ); document.write( "Table of values for y = –x^2 + 3x – 3
\n" ); document.write( "If x=0, y=-0^+3*0-3 = -3
\n" ); document.write( "if x=1, y=-1^2+3*1-3 = -1
\n" ); document.write( "if x=-1, y=-(-1)^2-3*-1-3 = 1
\n" ); document.write( "etc.
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\n" ); document.write( "\n" ); document.write( "Identify the axis of symmetry, create a suitable table of values, and then sketch the graph (including the axis of symmetry).
\n" ); document.write( "y = x^2 – 4x
\n" ); document.write( "x^2-4x+? = y+?
\n" ); document.write( "? = [(1/2)(-4)]^2 = 4
\n" ); document.write( "x^2-4x+4 = y+4
\n" ); document.write( "(x+2)^2 = y+4
\n" ); document.write( "Vertex is (-2,-4)
\n" ); document.write( "Axis of symmetry is x=-2
\n" ); document.write( "\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%2B4x%29\"
\n" ); document.write( "--------
\n" ); document.write( "To generate a table of values choose x-values around x=-2 like -1.-2
\n" ); document.write( "0,1; substitute them one at a time into y = x^2 – 4x to find the
\n" ); document.write( "corresponding y-values.\r
\n" ); document.write( "\n" ); document.write( "================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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