document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114515>Question 114515</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Vertex (h,k) of the quadratic function f(x)=a(x-h)^+k is (1,2) and the y-intercept is (0,1).\r<BR>\n" );
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document.write( "a)Find the quadratic function<BR>\n" );
document.write( "b)What is the maximum value of the function? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83317 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=83317\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Vertex (h,k) of the quadratic function f(x)=a(x-h)^+k is (1,2) and the y-intercept is (0,1).\r<BR>\n" );
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document.write( "a)Find the quadratic function<BR>\n" );
document.write( "Using the vertex values you get:<BR>\n" );
document.write( "y = a(x-1)^2 + 2<BR>\n" );
document.write( "Using the y-intercet you get:<BR>\n" );
document.write( "1 = a(0-1)^2+2<BR>\n" );
document.write( "1 = a+2<BR>\n" );
document.write( "a = -1<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "f(x) = -(x-1)^2+2<BR>\n" );
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document.write( "b)What is the maximum value of the function?<BR>\n" );
document.write( "The vertex is (1,2) and the parabola opens downward,<BR>\n" );
document.write( "so the maximum value of the function is 2.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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