document.write( "Question 58501: graph f(x)=|x-3|+2 include all intercepts and the vertex. I am not sure how to do the absolute value signs on here but they should go where the parentheses are.
\n" ); document.write( "Thank you \n" ); document.write( "
Algebra.Com's Answer #40202 by funmath(2933)\"\" \"About 
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graph f(x)=|x-3|+2 include all intercepts and the vertex.
\n" ); document.write( ":
\n" ); document.write( "To find the y intercept, let x=0 and solve for y:
\n" ); document.write( "f(x)=y=|x-3|+2
\n" ); document.write( "y=|0-3|+2
\n" ); document.write( "y=|-3|+2
\n" ); document.write( "y=3+2
\n" ); document.write( "y=5 Plot (0,5) the y-intercept.
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\n" ); document.write( "To find the x-intercept, let y=0 and solve for x:
\n" ); document.write( "0=|x-3|+2
\n" ); document.write( "-2=|x-3|+2-2
\n" ); document.write( "-2=|x-3| An absolute value is always positive, therefore there are no x-intercepts.
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\n" ); document.write( "To find the vertex:
\n" ); document.write( "(x-3)+2=-(x-3)+2
\n" ); document.write( "x-3+2=-x+3+2
\n" ); document.write( "x-1=-x+5
\n" ); document.write( "x-1+1=-x+5+1
\n" ); document.write( "x=-x+6
\n" ); document.write( "x+x=x-x+6
\n" ); document.write( "2x=6
\n" ); document.write( "2x/2=6/2
\n" ); document.write( "x=3 This is the x coordinate of the vertex.
\n" ); document.write( "y=|3-3|+2
\n" ); document.write( "y=|0|+2
\n" ); document.write( "y=2
\n" ); document.write( "The vertex is (3,2) Plot that.
\n" ); document.write( "Since there were no x-intercepts, you may want to let x= a couple of other numbers to get a couple of more points.
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x-3%29%2B2%29\"
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "
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