document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135309>Question 135309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help with this math question from blitzer 4\r<BR>\n" );
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document.write( "(1) use the graph of y =x^2 -2x -8, what are the solutions to this equation?\r<BR>\n" );
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document.write( "(b) does this unction have a maximum or a minimum ?\r<BR>\n" );
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document.write( "(c) what is the equation of the line of symmetry for this graph?<BR>\n" );
document.write( "(d) what are the coordinates of the vertex in (x,y) form?\r<BR>\n" );
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document.write( "(2) calculate the value of the discriminant of x^2 + 2x +1 =0<BR>\n" );
document.write( "(b)how many x intercepts would the graph of y =x^2 +2x +1\r<BR>\n" );
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document.write( "(3) if a rock is throw upward with an initial velocity of 40 ft per second from the top of a 30 ft building, write the height as so, velocity as vo and t as time. equation being s=-16t^2+40+30<BR>\n" );
document.write( "(a) how high is the rock after 2 seconds?<BR>\n" );
document.write( "(b) how many second will the graph reach maximum height?<BR>\n" );
document.write( "(c) what is the maximum height?\r<BR>\n" );
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document.write( "i know it's a lot ,but i really need your help. thank you so much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99136 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=99136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1) use the graph of y =x^2 -2x -8, what are the solutions to this equation?<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%2Cx%5E2-2x-8%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2-2x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solutions: x = 4 or x = -2<BR>\n" );
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document.write( "(b) does this function have a maximum or a minimum ?<BR>\n" );
document.write( "It has a minimum because the coefficient of x^2 is positive.<BR>\n" );
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document.write( "(c) what is the equation of the line of symmetry for this graph?<BR>\n" );
document.write( "x = -b/2a = -(-2)/2 = 1<BR>\n" );
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document.write( "(d) what are the coordinates of the vertex in (x,y) form? <BR>\n" );
document.write( "Vertex: (1,f(1) which is (1,-9)<BR>\n" );
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document.write( "(2) calculate the value of the discriminant of x^2 + 2x +1 =0<BR>\n" );
document.write( "b^2-4ac = 2^2-4*1*1 = 0<BR>\n" );
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document.write( "(b)how many x intercepts would the graph of y =x^2 +2x +1<BR>\n" );
document.write( "It meets the x-axis at x=-1 but does not pass thru it.<BR>\n" );
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document.write( "(3) if a rock is throw upward with an initial velocity of 40 ft per second from the top of a 30 ft building, write the height as so, velocity as vo and t as time. equation being s=-16t^2+40t+30<BR>\n" );
document.write( "(a) how high is the rock after 2 seconds?<BR>\n" );
document.write( "s(2) = -16(2)^2+40(2)+30 = -64+80+30 = 46 ft<BR>\n" );
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document.write( "(b) how many second will the graph reach maximum height?<BR>\n" );
document.write( "t = -b/2a = -40/(2*-16) = 1.25 seconds<BR>\n" );
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document.write( "(c) what is the maximum height? <BR>\n" );
document.write( "s(1.25) = -16(1.25)^2+40*1.25+30 = 55 ft.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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