document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037111>Question 1037111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "I took a crack at the below questions and this is what I came up with:\r<BR>\n" );
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document.write( "Let y = 4 - x2. \r<BR>\n" );
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document.write( "(a) Find the y-intercept(s) of the graph of the equation, if any exist.   (work optional)<BR>\n" );
document.write( "	4\r<BR>\n" );
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document.write( "(b) Find the x-intercept(s) of the graph of the equation, if any exist.   (work optional)<BR>\n" );
document.write( "	(-2, 2)\r<BR>\n" );
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document.write( "(c) Create a table of sample points on the graph of the equation (include at least six points), and use them to help create a graph of the equation. (You may use the grid shown below, hand-draw and scan, or you may use the free Desmos graphing calculator described under Course Resource to generate a graph, save as  a jpg and attach.)\r<BR>\n" );
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document.write( "x	y	(x, y)<BR>\n" );
document.write( "-2	0	(-2,0)<BR>\n" );
document.write( "-1	3	(-1, 3)<BR>\n" );
document.write( "0	4	(0,4)<BR>\n" );
document.write( "1	3	(1, 3)<BR>\n" );
document.write( "2	0	(2, 0)<BR>\n" );
document.write( "3	-5	(3, -5)\r<BR>\n" );
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document.write( "(d) Is the graph symmetric with respect to the x-axis?  _____ (yes). If no, state a point on the graph and state the appropriate reflection point which fails to be on the graph, as done in section 1.2 homework in the textbook.\r<BR>\n" );
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document.write( "(e) Is the graph symmetric with respect to the y-axis?  _____ (yes). If no, state a point on the graph and state the appropriate reflection point which fails to be on the graph, as done in section 1.2 homework in the textbook.\r<BR>\n" );
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document.write( "(f) Is the graph symmetric with respect to the origin?  _____ (yes). If no, state a point on the graph and state the appropriate reflection point which fails to be on the graph, as done in section 1.2 homework in the textbook.\r<BR>\n" );
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document.write( "Any help is very much appreciated! Thank you so much!\r<BR>\n" );
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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 #651818 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I agree with your answers for parts (a), (b), and (c).<BR>\n" );
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document.write( "For (d), I say NO, because if it were symmetric with respect to the x-axis,<BR>\n" );
document.write( "along with point (1,3) the graph should also contain its reflexion across the x-axis (1,-3),<BR>\n" );
document.write( "y=4-x^2. expresses y as a function of x,<BR>\n" );
document.write( "so for a given x value, such as x=1, there is only one value of y.<BR>\n" );
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document.write( "For (e), I agree with the YES answer,<BR>\n" );
document.write( "because the fact that x appears only  squared, as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "meas that y will have the same value for x and -x,<BR>\n" );
document.write( "so if the graph contains the point (x,y),<BR>\n" );
document.write( "it must also contain the reflexion of (x,y) across the y-axis : the point (-x,y). <BR>\n" );
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document.write( "For (f), I say NO, because if it were symmetric with respect to the x-axis,<BR>\n" );
document.write( "along with point (1,3) the graph should also contain its reflexion across the origin: (-1,-3),<BR>\n" );
document.write( "y=4-x^2. expresses y as a function of x,<BR>\n" );
document.write( "so for a given x value, such as x=-1, there is only one value of y, y=3. </SPAN>\n" );
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