document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=775143>Question 775143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help on understanding parabolas and how to solve them.<BR>\n" );
document.write( "The vertex of this parabola is at (-2,-3). When the x-value is -1, the y-value is -5. What is the coefficient of the squared expression in the parabola's equation? </SPAN>\n" );
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document.write( "The vertex of this parabola is at (-2,-3). When the x-value is -1, the y-value is -5. What is the coefficient of the squared expression in the parabola's equation?<BR>\n" );
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document.write( "A:<BR>\n" );
document.write( "The vertex of parabola (quadratic function) with equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > is (h,k).<BR>\n" );
document.write( "If the vertex is (-2,-3), then h = -2, k = -3 and the quadratic function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x%2B2%29%5E2-3 ALIGN=MIDDLE  ALT=\"y=a%28x%2B2%29%5E2-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute x = -1 and y = -5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5=a%28-1%2B2%29%5E2-3 ALIGN=MIDDLE  ALT=\"-5=a%28-1%2B2%29%5E2-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-5 = a-3<BR>\n" );
document.write( "a = -2<BR>\n" );
document.write( "Therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-2%28x%2B2%29%5E2-3 ALIGN=MIDDLE  ALT=\"y+=+-2%28x%2B2%29%5E2-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-2x%5E2-8x-11 ALIGN=MIDDLE  ALT=\"y+=+-2x%5E2-8x-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The coefficient of the squared expression is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-2%29 ALIGN=MIDDLE  ALT=\"highlight%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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