document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205875>Question 1205875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Select all the true statements for the quadratic function<BR>\n" );
document.write( "f(x) = 5x² + 70x + 245.<BR>\n" );
document.write( "Ⓐ The y-intercept of the function is −7.<BR>\n" );
document.write( "Ⓑ The vertex of the function is at (−7, 0).<BR>\n" );
document.write( "Ⓒ The function is symmetric about the line x = 7.<BR>\n" );
document.write( "Ⓓ The function is decreasing when −∞ < x < −7.<BR>\n" );
document.write( "Ⓔ The range of the function is all positive real numbers including zero. </SPAN>\n" );
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document.write( "The function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%2B70x%2B245 ALIGN=MIDDLE  ALT=\"5x%5E2%2B70x%2B245\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x%5E2%2B14x%2B49%29 ALIGN=MIDDLE  ALT=\"5%28x%5E2%2B14x%2B49%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x%2B7%29%5E2 ALIGN=MIDDLE  ALT=\"5%28x%2B7%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That is a parabola with vertex at (-7,0) and opening upward.<br><BR>\n" );
document.write( "Ⓐ The y-intercept of the function is −7.<BR>\n" );
document.write( "FALSE.  The y-intercept (when x=0) is (0,245), or just 245. -7 (or (-7,0)) is the x-intercept, not the y-intercept.  <br><BR>\n" );
document.write( "Ⓑ The vertex of the function is at (−7, 0).<BR>\n" );
document.write( "TRUE<br><BR>\n" );
document.write( "Ⓒ The function is symmetric about the line x = 7.<BR>\n" );
document.write( "FALSE.  It is symmetric about the line x = -7.<br><BR>\n" );
document.write( "Ⓓ The function is decreasing when −∞ < x < −7.<BR>\n" );
document.write( "TRUE.  And increasing when -7 < x < ∞.<br><BR>\n" );
document.write( "Ⓔ The range of the function is all positive real numbers including zero.<BR>\n" );
document.write( "I'm not sure how to answer this one.  \"all positive real numbers including zero\" is self-contradictory....<br>\r<BR>\n" );
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