document.write( "Question 1183527: Describe the translation from y=x to y=3x+2 \n" ); document.write( "

Algebra.Com's Answer #813892 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "In the equation $\"f%28x%29=mx%2Bc\"$ , the $\"m\"$ is acting as the $\"vertical\"$ $\"+stretch\"$ or $\"compression\"$ of the identity function, $\"c\"$ shifted up or down . \r
\n" ); document.write( "\n" ); document.write( "When $\"m+\"$ is negative, there is also a vertical reflection of the graph. \r
\n" ); document.write( "\n" ); document.write( "Notice in the figure below that multiplying the equation of
\n" ); document.write( " $\"f%28x%29=x+\"$ by $\"m+\"$ $\"stretches\"$ the graph of $\"f\"$ by a factor of $\"m\"$ units if $\"m%3E1\"$ and $\"compresses\"$ the graph of f by a factor of $\"+m\"$ units if $\"0%3Cm%3C1\"$ . This means the larger the absolute value of $\"m\"$ , the steeper the slope.\r
\n" ); document.write( "\n" ); document.write( "in your case: the translation from $\"y=x\"$ to $\"+y=3x%2B2\"$ \r
\n" ); document.write( "\n" ); document.write( "graph is shifted up $\"2\"$ units
\n" ); document.write( " there is vertical stretch by a factor of $\"3\"$ units\r
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