document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139251>Question 139251</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i have tried so hard to figure out this problem but it seems so difficult. \r<BR>\n" );
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document.write( "Given the function f(x)=2x^2-8x+3, answer the following questions using specific language to explain each step performed.<BR>\n" );
document.write( "1.)determine the nature of the roots, using the discriminant.<BR>\n" );
document.write( "2.) solve by using the quadratic formula<BR>\n" );
document.write( "3.) graph using vertex roots and direction<BR>\n" );
document.write( "4,)what is the minimum? maximum?<BR>\n" );
document.write( "5.) what is the axis of symmetry?\r<BR>\n" );
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document.write( "how do i show all of this?<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 #101532 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=101532\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the function f(x)=2x^2-8x+3, answer the following questions using specific language to explain each step performed.<BR>\n" );
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document.write( "1.)determine the nature of the roots, using the discriminant.<BR>\n" );
document.write( "discriminant = b^2-4ac<BR>\n" );
document.write( "d = 8^2-4*2*3 = 64 - 24 = 40 > 0<BR>\n" );
document.write( "Since d>0, the function has two unequal Rean Number solutions.<BR>\n" );
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document.write( "2.) solve by using the quadratic formula<BR>\n" );
document.write( "x = [8 +- sqrt(40)]/4<BR>\n" );
document.write( "x = 2 +- (1/2)sqrt(10)<BR>\n" );
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document.write( "3.) graph using vertex roots and direction<BR>\n" );
document.write( "Vertex occurs at x=-b/2a = 8/4 = 2<BR>\n" );
document.write( "f(2) = 8-16+3 = -5<BR>\n" );
document.write( "Vertex: (2,-5)<BR>\n" );
document.write( "Direction:Since the coefficient of x^2 is positive, the parabola opens up.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2x%5E2-8x%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2x%5E2-8x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "4,)what is the minimum?<BR>\n" );
document.write( "y=-5<BR>\n" );
document.write( "maximum?<BR>\n" );
document.write( "There is no maximum as the parabola opens up.<BR>\n" );
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document.write( "5.) what is the axis of symmetry? <BR>\n" );
document.write( "The vertical line thru the vertex: x=2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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