document.write( "Question 64361: I need to graph the folliwing equations. Identify the vertex, intercepts and equation of the axis of symmetry. If a value is irrational , find a decimal approximation.\r
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document.write( "y=x^2-5x+4 \n" );
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Algebra.Com's Answer #45007 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! I need to graph the folliwing equations. Identify the vertex, intercepts and equation of the axis of symmetry. If a value is irrational , find a decimal approximation. \n" ); document.write( ": \n" ); document.write( "y = x^2 - 5x + 4 \n" ); document.write( ": \n" ); document.write( "Make a table of x = -2 to + 6 and find y, the graph should look like this: \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Find the x intercepts: \n" ); document.write( "x^2 - 5x + 4 = 0 \n" ); document.write( "Factor: \n" ); document.write( "(x-4)(x-1) = 0 \n" ); document.write( "x = +4 \n" ); document.write( "x = +1 \n" ); document.write( ": \n" ); document.write( "Find the y intercept, this occurs when x = 0 \n" ); document.write( "y = 0^2 -5(0) + 4 \n" ); document.write( "y = 4 is the y intercept \n" ); document.write( ": \n" ); document.write( "Find the axis of symmetry: \n" ); document.write( "using the form ax^2 + bx + c; axis of sym formula is x = -b/(2a) \n" ); document.write( "In our equation a = 1; b = -5 \n" ); document.write( "x = -(-5)/(2*1) \n" ); document.write( "x = +5/2 \n" ); document.write( "x = +2.5 is the axis of symmetry \n" ); document.write( ": \n" ); document.write( "Find the vertex, substitute for x = 2.5 and solve for y \n" ); document.write( "y = 2.5^2 - 5(2.5) + 4 \n" ); document.write( "y = 6.25 - 12.5 + 4 \n" ); document.write( "y = -2.25 \n" ); document.write( "Vertex occurs at: x = +2.5, y = -2.25 \n" ); document.write( ": \n" ); document.write( "you can confirm all this on the graph \n" ); document.write( " |