document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983056>Question 983056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this equation.\r<BR>\n" );
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document.write( "Express Each equation of no. 1 to 3 in the form a(x+b)^2+c<BR>\n" );
document.write( "Sketch the graph of y against x.for each graph,give the coordinates of the points where it intercepts the axes (if any),the gradient of the graph where it cuts the y-axis,the coordinates of the maximum or minimum turning point.draw also its axis of symmetry and write down the equation of the axis.\r<BR>\n" );
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document.write( "1. y=3-15x-3x^2\r<BR>\n" );
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document.write( "2. y=16-x-x^2\r<BR>\n" );
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document.write( "3. y=-x^2-4x-7<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603889 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=603889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Please help me with this equation. <BR>\n" );
document.write( "Express Each equation of no. 1 to 3 in the form a(x+b)^2+c<BR>\n" );
document.write( "Sketch the graph of y against x.<BR>\n" );
document.write( "For each graph:<BR>\n" );
document.write( "a) give the coordinates of the points where it intercepts the axes (if any),<BR>\n" );
document.write( "b) the gradient of the graph where it cuts the y-axis,<BR>\n" );
document.write( "c) the coordinates of the maximum or minimum turning point.<BR>\n" );
document.write( "d) draw also its axis of symmetry and write down the equation of the axis.<BR>\n" );
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document.write( "I'll do the 1st one:: <BR>\n" );
document.write( "1. y = 3-15x-3x^2<BR>\n" );
document.write( "y = -3(x^2+5x-1)<BR>\n" );
document.write( "Complete the square on x^2 + 5x + 1<BR>\n" );
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document.write( "y = -3[x^2+5x+(5/2)^2]+3+3(25/4)<BR>\n" );
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document.write( "y = -3(x+(5/2))^2 + (89/4)<BR>\n" );
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document.write( "a) give the coordinates of the points where it intercepts the axes (if any),<BR>\n" );
document.write( "Ans: y-intercept (0,3)<BR>\n" );
document.write( "x-intercepts::<BR>\n" );
document.write( "Solve 3x^2 + 15x -3 = 0 using the quadratic formuls<BR>\n" );
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document.write( "b) the gradient of the graph where it cuts the y-axis,<BR>\n" );
document.write( "Ans:<BR>\n" );
document.write( "y' = -6x-15<BR>\n" );
document.write( "y'(0) = -15<BR>\n" );
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document.write( "c) the coordinates of the maximum or minimum turning point.<BR>\n" );
document.write( "Solve::<BR>\n" );
document.write( "-6x-15 = 0<BR>\n" );
document.write( "x = -5/2<BR>\n" );
document.write( "y = f(-5/2) 89/4 \r<BR>\n" );
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document.write( "d) draw also its axis of symmetry and write down the equation of the axis.<BR>\n" );
document.write( "Ans:<BR>\n" );
document.write( "axis:: x = -5/2<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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