document.write( "Question 31562: Can you please help me solve this?\r
\n" ); document.write( "\n" ); document.write( "a) Find x and y intercepts of the parabola
\n" ); document.write( " y=x^2-6x+5
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\n" ); document.write( "\n" ); document.write( "b) What is the Vertex of this parabola?
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Algebra.Com's Answer #18226 by josmiceli(19441)\"\" \"About 
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
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