document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=379489>Question 379489</A>: <I><SPAN STYLE=\"word-break: break-all;\"> we are graphing quadratic equations and the teacher isn't explaining it in simpler terms it is a function and i need help with the steps to solve the fuction is y=-2x^2-2x+3 and we have to graph it. can you help me and give me the steps?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #269453 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=269453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=-2x^2-2x+3 <BR>\n" );
document.write( "...<BR>\n" );
document.write( "first find the x intercepts.<BR>\n" );
document.write( "plug y =0<BR>\n" );
document.write( "-2x^2-2x+3=0<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Find the root of the equation using quadratic formula.<BR>\n" );
document.write( "discriminant b^2-4ac= 28<BR>\n" );
document.write( "x1=(2+sqrt(28))/-4<BR>\n" );
document.write( "x1=-1.82 <BR>\n" );
document.write( "...<BR>\n" );
document.write( "x2=(2-sqrt(28))/-4<BR>\n" );
document.write( "x2=0.82\r<BR>\n" );
document.write( "\n" );
document.write( "...<BR>\n" );
document.write( "The x intercepts are (0,-1.8) & (0,0.82)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Using the equation y = -2x^2-2x+3 <BR>\n" );
document.write( "find the vertex of the parabola<BR>\n" );
document.write( "a=-2, b=-2<BR>\n" );
document.write( "h=(-b/2a)<BR>\n" );
document.write( "h=(2/-4)<BR>\n" );
document.write( "h=-1/2<BR>\n" );
document.write( "plug the value of (-1/2) in the equation to get the y value of the vertex<BR>\n" );
document.write( "y= -2*(1/4)-2*-1/2+3<BR>\n" );
document.write( "y=-0.5+1+3<BR>\n" );
document.write( "y=3.5<BR>\n" );
document.write( "Vertex ( -1/2 , 3.5)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "since x^2 is negative the parabola opens downwards<BR>\n" );
document.write( ".<BR>\n" );
document.write( "generate various value of y for different values of x<BR>\n" );
document.write( "x=-1, y=3<BR>\n" );
document.write( "x=1,y=-1<BR>\n" );
document.write( "x=-2,y=3<BR>\n" );
document.write( "x=2,y=-9<BR>\n" );
document.write( "x=2,y=-9<BR>\n" );
document.write( "...<BR>\n" );
document.write( "use a calculator or plot points and join the curve.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-3%2C2%2C-1%2C4%2C%28-2x%5E2-2x%2B3%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-3%2C2%2C-1%2C4%2C%28-2x%5E2-2x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );