document.write( "Question 62438: I need some help with Graphing\r
\n" ); document.write( "\n" ); document.write( "Sketch the graph of y=5-(x+2)^3 and label the Y-intercept\r
\n" ); document.write( "\n" ); document.write( "thank you for your time
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Algebra.Com's Answer #43191 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
Sketch the graph of y=5-(x+2)^3 and label the Y-intercept
\n" ); document.write( "Let x=0 to find the y intercept.
\n" ); document.write( "\"y=5-%280%2B2%29%5E3\"
\n" ); document.write( "\"y=5-%282%29%5E3\"
\n" ); document.write( "\"y=5-8\"
\n" ); document.write( "\"y=-3\" Plot (0,-3)
\n" ); document.write( "The graph of y=x^3 looks like:
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E3%29\"
\n" ); document.write( "\"y=highlight%285%29-%28x%2B2%29%5E3\"
\n" ); document.write( "The 5, tells you that your graph is shifted vertically up 5 units.
\n" ); document.write( "\"y=5-%28x%2Bhighlight%282%29%29%5E3\"
\n" ); document.write( "The +2 tells you that the graph is shifted 2 units to the left (notice that the horizontal shifts are opposite of the sign and the vertical shifts are with the sign.)
\n" ); document.write( "The - in front of the (x+2), tells you that the graph is upside down.
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C5-%28x%2B2%29%5E3%29\"
\n" ); document.write( "Sorry it took me so long to get back to this, the holidays bring unexpected visitors. Hope this is in time to be useful.
\n" ); document.write( "Happy Calculating!!!\r
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