document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117778>Question 1117778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the standard form of the equation of the parabola that has the indicated vertex and passes through the given point. (Let x be the independent variable and y be the dependent variable.)\r<BR>\n" );
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document.write( "a. Vertex (-4,9); Point (0,25)<BR>\n" );
document.write( "b. Vertex (-2,9); Point (-5,0) </SPAN>\n" );
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document.write( "a. With vertex (-4,9) and y the dependent variable, the equation is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-9+=+a%28x%2B4%29%5E2 ALIGN=MIDDLE  ALT=\"y-9+=+a%28x%2B4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Plug in the x and y values of the given point to determine the value of the constant a.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25-9+=+a%280%2B4%29%5E2 ALIGN=MIDDLE  ALT=\"25-9+=+a%280%2B4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+=+16a ALIGN=MIDDLE  ALT=\"16+=+16a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1 ALIGN=MIDDLE  ALT=\"a+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The equation is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-9+=+%28x%2B4%29%5E2 ALIGN=MIDDLE  ALT=\"y-9+=+%28x%2B4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x%2B4%29%5E2%2B9 ALIGN=MIDDLE  ALT=\"y+=+%28x%2B4%29%5E2%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "b. Use the same strategy.<br><BR>\n" );
document.write( "Vertex (-2,9), so the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-9=a%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"y-9=a%28x%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "Plug in (x,y)=(-5,0) to determine the value of a.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0-9+=+a%28-5%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"0-9+=+a%28-5%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9+=+9a ALIGN=MIDDLE  ALT=\"-9+=+9a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-1 ALIGN=MIDDLE  ALT=\"a+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-9+=+-%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"y-9+=+-%28x%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%28x%2B2%29%5E2%2B9 ALIGN=MIDDLE  ALT=\"y+=+-%28x%2B2%29%5E2%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );