document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995453>Question 995453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)Draw the parabola with a zero at (3,0) ,a vertex at (3,0) and a y intercept of (0,8)\r<BR>\n" );
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document.write( "2)Draw the parabola with a minimum value of 2, an axis of symmetry of 3, no zeros, and a y intercept of 8.\r<BR>\n" );
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document.write( "3)Draw the parabola with a y intercept  of 4, an axis of symmetry of 0, and no zeros.<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 #614210 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=614210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Vertex form is y= a(x-h)^2+k<BR>\n" );
document.write( "for a<BR>\n" );
document.write( "a(x-3)^2=y, since k=0<BR>\n" );
document.write( "But (0,8) is a solution, so y=8 when x=0.<BR>\n" );
document.write( "8=-(3)^2*a<BR>\n" );
document.write( "9a=8<BR>\n" );
document.write( "a=(8/9)<BR>\n" );
document.write( "y=(8/9)(x^2-6x+9)<BR>\n" );
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document.write( "minimum of 2 means the y-value of the vertex is 2.<BR>\n" );
document.write( "axis of symmetry of 3 means the x value of the vertex is 3.<BR>\n" );
document.write( "Therefore, the vertex is at (3,2)<BR>\n" );
document.write( "y intercept is at 8.<BR>\n" );
document.write( "To draw this, the vertex is at (3,2) and one point is at (0,8).  Use the idea of symmetry to realize when x goes to the left 3, y goes up 6.  When x goes to the right 3,  y goes up 6.  Your third point is (6,8).  With those 3 points, you can draw the parabola.<BR>\n" );
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document.write( "y-intercept of 4 means when x=0, y=4.<BR>\n" );
document.write( "No zeros means this opens upward.<BR>\n" );
document.write( "y=x^2+4.  Note, with this one, y=ax^2+4, where a is positive, will work. </SPAN>\n" );
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