document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=819407>Question 819407</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is x=4y^2+8y in standard form. I need to find the domain, range, vertex and axis of symmetry and figure I need to find this out first, </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #493087 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=493087\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Original equation:<BR>\n" );
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document.write( "x = 4y^2 + 8y<BR>\n" );
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document.write( "the above quadratic equation represents a parabola that opens to the right, but is not a function in the strict sense because for each x there are two values of y <BR>\n" );
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document.write( "however, the original equation is similar to the function: f(x) = 4x^2 + 8x<BR>\n" );
document.write( "and so the original equation can be analyzed by analyzing f(x)<BR>\n" );
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document.write( "the above quadratic function is in standard form, with a=4, b=8, and c=0<BR>\n" );
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document.write( "to solve the quadratic function, by using the quadratic formula, plug this:<BR>\n" );
document.write( "4 8 0<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "the two real roots (i.e. the two x-intercepts), of the quadratic are:<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "x = -2<BR>\n" );
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document.write( "the vertex is a minimum at: ( -1, -4 )<BR>\n" );
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document.write( "the axis of symmetry is: x = -1<BR>\n" );
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document.write( "domain is: all real x<BR>\n" );
document.write( "range is: y > -4<BR>\n" );
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document.write( "Now back to the original equation:<BR>\n" );
document.write( "flip x and y<BR>\n" );
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document.write( "the two real roots (i.e. the two y-intercepts), of the quadratic are:<BR>\n" );
document.write( "y = 0<BR>\n" );
document.write( "y = -2<BR>\n" );
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document.write( "the vertex is at: ( -4, -1 )<BR>\n" );
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document.write( "the axis of symmetry is: y = -1<BR>\n" );
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document.write( "domain is: all real y<BR>\n" );
document.write( "range is: x > -4<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
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document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
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document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
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