document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174428>Question 174428</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Questions from a worksheet:\r<BR>\n" );
document.write( "\n" );
document.write( "One form of a quadratic function is f(x)= a(x-b)^2 + c. Use this for the following questions.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1. If you wanted to shift the graph of the function down, what would you do?<BR>\n" );
document.write( "A. increase a<BR>\n" );
document.write( "B. decrease c<BR>\n" );
document.write( "C. increase c<BR>\n" );
document.write( "D. decrease a\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2. If you wanted to shift the graph of the function right what would you do?<BR>\n" );
document.write( "A. increase b<BR>\n" );
document.write( "B. decrease b<BR>\n" );
document.write( "C. increase c<BR>\n" );
document.write( "D. decrease a\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3. If you wanted to make the parabola narrower, what would you do?<BR>\n" );
document.write( "A. increase a<BR>\n" );
document.write( "B. decrease b<BR>\n" );
document.write( "C. increase c<BR>\n" );
document.write( "D. decrease a\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This is a different question:\r<BR>\n" );
document.write( "\n" );
document.write( "1. If f is a polynomial of degree 2 and g is a polynomial of degree 3, what is the degree of f x g?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129433 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129433\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One form of a quadratic function is f(x)= a(x-b)^2 + c. Use this for the following questions.\r<BR>\n" );
document.write( "\n" );
document.write( "The best way to learn this is use a graphing calc like Ti83<BR>\n" );
document.write( "Use this example<BR>\n" );
document.write( "Enter<BR>\n" );
document.write( "y1 = 2(x-3)^2 + 4; Use this equation as a reference<BR>\n" );
document.write( "y2 = 2(x-3)^2 + 4; Make changes in a, b, c on this equation<BR>\n" );
document.write( "Observe what changes in a, b, c do to the qraphs<BR>\n" );
document.write( "Should look like the graphs below<BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( "1. If you wanted to shift the graph of the function down, what would you do?<BR>\n" );
document.write( ";<BR>\n" );
document.write( "B. decrease c: c=2: y2 = 2(x-3)^2 + 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+8%2C+-4%2C+20%2C+2%28x-3%29%5E2%2B4%2C+2%28x-3%29%5E2%2B2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+8%2C+-4%2C+20%2C+2%28x-3%29%5E2%2B4%2C+2%28x-3%29%5E2%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Ref equation: purple<BR>\n" );
document.write( "shifted equation: green<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2. If you wanted to shift the graph of the function right what would you do?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "B. decrease b: b=-5 2(x-5)^2 + 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+8%2C+-4%2C+20%2C+2%28x-3%29%5E2%2B4%2C+2%28x-5%29%5E2%2B4%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+8%2C+-4%2C+20%2C+2%28x-3%29%5E2%2B4%2C+2%28x-5%29%5E2%2B4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3. If you wanted to make the parabola narrower, what would you do?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A. increase a: a=5; 5(x-3)^2 + 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+8%2C+-4%2C+20%2C+2%28x-3%29%5E2%2B4%2C+5%28x-3%29%5E2%2B4%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+8%2C+-4%2C+20%2C+2%28x-3%29%5E2%2B4%2C+5%28x-3%29%5E2%2B4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ":<BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( "This is a different question:<BR>\n" );
document.write( "1. If f is a polynomial of degree 2 and g is a polynomial of degree 3, what is the degree of f x g? 5; You multiply polynomials, add the highest exponents </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );