document.write( "Question 922529: if g(x) is a transformation of f(x), find the vertex of the g(x) and describe the transformation.
\n" ); document.write( "f(x)=|x|
\n" ); document.write( "g(x)=|x+3|-5 \n" ); document.write( "

Algebra.Com's Answer #559601 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
This is always true:
\n" ); document.write( "To shift a function $\"left\"$ , add inside the function's argument: $\"f%28x+%2B+b%29\"$ gives $\"f%28x%29\"$ shifted $\"b\"$ units to the $\"left\"$ .
\n" ); document.write( "Shifting to the right works the same way; $\"f%28x-b%29\"$ is $\"f%28x%29\"$ shifted $\"b\"$ units to the $\"right\"$ .\r
\n" ); document.write( "\n" ); document.write( "if you have $\"f%28x%29+%2B+a\"$ , means that $\"f%28x%29\"$ is shifted $\"upward\"$ $\"+a\"$ units
\n" ); document.write( "if you have $\"f%28x%29-a\"$ , means that $\"f%28x%29\"$ shifted $\"downward\"$ $\"+a+\"$ units\r
\n" ); document.write( "\n" ); document.write( "you are given:\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=abs%28x%29\"$
\n" ); document.write( " $\"g%28x%29=abs%28x%2B3%29-5\"$ => $\"b=3\"$ => $\"f%28x%29\"$ shifted $\"3\"$ units to the $\"left\"$ \r
\n" ); document.write( "\n" ); document.write( "and $\"a=-5\"$ =>means that $\"f%28x%29\"$ shifted $\"downward\"$ $\"+-5+\"$ units\r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-6%2C+5%2C+-10%2C+10%2C+abs%28x%29%2C+abs%28x%2B3%29-5%29+\"$ \r
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