document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254215>Question 254215</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For each of the following quadratics, \r<BR>\n" );
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document.write( "A.   y=-2(x+1)^2+8\r<BR>\n" );
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document.write( "B.   y=x^2+6x-16\r<BR>\n" );
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document.write( "- Find the coordinates of the vertex<BR>\n" );
document.write( "- Direction of opening<BR>\n" );
document.write( "- Identify if the graph is wider or narrower than normal<BR>\n" );
document.write( "- Find the equation of the axis of symmetry<BR>\n" );
document.write( "- Find the y-intercept<BR>\n" );
document.write( "- Find the x-intercept<BR>\n" );
document.write( "- Give the domain and range for each quadratic<BR>\n" );
document.write( "- Draw a sketch of the quadratic.  Be sure to label the vertex and axis of symmetry clearly.  Use the staircase method, the x-intercepts or a point of the axis of symmetry to find the actual width of the graph. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #186577 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=186577\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A. y=-2(x+1)^2+8 <BR>\n" );
document.write( "- Find the coordinates of the vertex<BR>\n" );
document.write( "vertex: (-1,8)<BR>\n" );
document.write( "- Direction of opening<BR>\n" );
document.write( "opens down because of (-) in front of 2.<BR>\n" );
document.write( "- Identify if the graph is wider or narrower than normal<BR>\n" );
document.write( "Skinny because 2 > 1<BR>\n" );
document.write( "- Find the equation of the axis of symmetry<BR>\n" );
document.write( "Axis of symmetry is x = -1<BR>\n" );
document.write( "- Find the y-intercept<BR>\n" );
document.write( "(0,6)<BR>\n" );
document.write( "- Find the x-intercept<BR>\n" );
document.write( "(-1,0)(-3,0)<BR>\n" );
document.write( "- Give the domain and range for each quadratic<BR>\n" );
document.write( "domain: all reals<BR>\n" );
document.write( "range: Y<= 8<BR>\n" );
document.write( " Draw a sketch of the quadratic<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-5%2C+15%2C+-10%2C+10%2C+-2%28x%2B1%29%5E2%2B8%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-5%2C+15%2C+-10%2C+10%2C+-2%28x%2B1%29%5E2%2B8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "B. y=x^2+6x-16 <BR>\n" );
document.write( "FIrst we complete the square to get vertex form as:<BR>\n" );
document.write( "y = (X+3)^2-25<BR>\n" );
document.write( "- Find the coordinates of the vertex<BR>\n" );
document.write( "vertex: (-3,-25)<BR>\n" );
document.write( "- Direction of opening<BR>\n" );
document.write( "opens up<BR>\n" );
document.write( "- Identify if the graph is wider or narrower than normal<BR>\n" );
document.write( "normal opening<BR>\n" );
document.write( "- Find the equation of the axis of symmetry<BR>\n" );
document.write( "axis of symmetry is x = -3<BR>\n" );
document.write( "- Find the y-intercept<BR>\n" );
document.write( "(0,-16)<BR>\n" );
document.write( "- Find the x-intercept<BR>\n" );
document.write( "(2,0) (-8,0)<BR>\n" );
document.write( "- Give the domain and range for each quadratic<BR>\n" );
document.write( "domain: all reals<BR>\n" );
document.write( "range: y >= -25<BR>\n" );
document.write( "- Draw a sketch of the quadratic<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+10%2C+-40%2C+0%2C+%28x%2B3%29%5E2-25%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-40%2C+0%2C+%28x%2B3%29%5E2-25%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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