document.write( "Question 31562: Can you please help me solve this?\r
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document.write( "a) Find x and y intercepts of the parabola
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document.write( " y=x^2-6x+5
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document.write( "b) What is the Vertex of this parabola? \n" );
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Algebra.Com's Answer #18226 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! when x = 0 \n" ); document.write( "y = 5 \n" ); document.write( "thats the y-intercept \n" ); document.write( "when y = 0 \n" ); document.write( " y=x^2-6x+5 \n" ); document.write( "0 = x^2 -6x + 5 \n" ); document.write( "0 = (x - 5)(x - 1) \n" ); document.write( "this is true if x = 5 or x = 1 \n" ); document.write( "the x-intercepts are (5,0) and (1,0) \n" ); document.write( "the vertex occurs where y(x + k) = y(x - k) \n" ); document.write( "x is the vertex \n" ); document.write( "(x+k)^2 -6(x+k) + 5 = (x-k)^2 -6(x-k) +5 \n" ); document.write( "x^2 +2kx +k^2 -6x -6k +5 = x^2 -2kx +k^2 -6x +6k +5 \n" ); document.write( "cancel the terms that are the same on both sides \n" ); document.write( "2kx -6k = -2kx +6k \n" ); document.write( "4kx = 12k \n" ); document.write( "kx = 3k \n" ); document.write( "x = 3 \n" ); document.write( "when x = 3 \n" ); document.write( "y = 3^2 -6(3) +5 \n" ); document.write( "y = -4 \n" ); document.write( "(3, -4) is the vertex \n" ); document.write( " |