document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175361>Question 1175361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The graph of y = x^2 is stretched vertically by a factor of 3, stretched horizontally by a factor of 5, and translated horizontally to the left by 12. Determine the equation that results from these transformations. </SPAN>\n" );
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document.write( "Original graph: y = x^2<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C200%2C-20%2C10%2C-5%2C25%2Cx%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C200%2C-20%2C10%2C-5%2C25%2Cx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Stretch vertically by a factor of 3: the y value gets multiplied by 3: y = 3x^2<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C200%2C-20%2C10%2C-5%2C25%2Cx%5E2%2C3x%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C200%2C-20%2C10%2C-5%2C25%2Cx%5E2%2C3x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Stretch horizontally by a factor of 5: to get a horizontal stretch of 5, the x value has to be DIVIDED by 5: y = 3(x/5)^2<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C200%2C-20%2C10%2C-5%2C25%2Cx%5E2%2C3x%5E2%2C3%28x%2F5%29%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C200%2C-20%2C10%2C-5%2C25%2Cx%5E2%2C3x%5E2%2C3%28x%2F5%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Translated left 12: replace \"x\" with \"x+12\": y = 3((x+12)/5)^2<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C200%2C-20%2C10%2C-5%2C25%2Cx%5E2%2C3x%5E2%2C3%28x%2F5%29%5E2%2C3%28%28x%2B12%29%2F5%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The final equation is<br><BR>\n" );
document.write( "y = 3((x+12)/5)^2<br><BR>\n" );
document.write( " </SPAN>\n" );
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