document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91184>Question 91184</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with these two problems. They have more than one part. The first equation is y = a(x-h) + k\r<BR>\n" );
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document.write( "a. Write the equation in the form y= a(x-h) + k<BR>\n" );
document.write( "b. Find the vertex of the graph.\r<BR>\n" );
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document.write( "The second equation is y= x^2-2x-8\r<BR>\n" );
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document.write( "a. Find the y-intercepts of the graph.<BR>\n" );
document.write( "b. Find the x-intercepts of the graph.<BR>\n" );
document.write( "c. Find the vertex.<BR>\n" );
document.write( "d. Graph the equation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66760 by </B><A HREF=/tutors/aboutme.mpl?userid=mathispowerful><B>mathispowerful(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathispowerful><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=66760\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First equation\r<BR>\n" );
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document.write( "a) The equation is already in the form you need.<BR>\n" );
document.write( "b)  There is NO vertex in its graph since it is a linear equation , the graph is a straight line.\r<BR>\n" );
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document.write( "Second equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2-2x-8 ALIGN=MIDDLE  ALT=\"y+=+x%5E2-2x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "a)<BR>\n" );
document.write( "For y intercept x = 0, so let x =0 in the equation to calculate y value\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+0%5E2+-+2%2A0+-+8 ALIGN=MIDDLE  ALT=\"y+=+0%5E2+-+2%2A0+-+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= -8<BR>\n" );
document.write( "so y intercept point is (0, -8).\r<BR>\n" );
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document.write( "b)Similarly, let y = 0, we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x%5E2-2x-8 ALIGN=MIDDLE  ALT=\"0+=+x%5E2-2x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(x-4)(x+2) = 0\r<BR>\n" );
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document.write( "x = 4 or  x = -2\r<BR>\n" );
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document.write( "so there are two x intercept points: (4, 0) and (-2, 0).\r<BR>\n" );
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document.write( "c)when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-b%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+-b%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the y value will be the smallest, that's vertex\r<BR>\n" );
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document.write( "here a = 1, b = -2\r<BR>\n" );
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document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-%28-2%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+-%28-2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is x = 1,\r<BR>\n" );
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document.write( "when x = 1, y = -9\r<BR>\n" );
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document.write( "so vertex is (1, -9)<BR>\n" );
document.write( " \r<BR>\n" );
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document.write( "d. Graph the equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C200%2C+-5%2C5%2C+-10%2C+8%2C+x%5E2-2x-8%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C200%2C+-5%2C5%2C+-10%2C+8%2C+x%5E2-2x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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