document.write( "Question 901413: Write an equation for the horizontal translation of f(x)=xsquared\r
\n" ); document.write( "\n" ); document.write( "3.7 units right \r
\n" ); document.write( "\n" ); document.write( "We have no idea where to start to answer this question. \n" ); document.write( "

Algebra.Com's Answer #546729 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
The transformations rules can be summarized as:
\n" ); document.write( " $\"f%28x%29+%2B+a\"$ - means $\"f%28x%29\"$ shifted $\"upward\"$ $\"a\"$ $\"+units+\"$
\n" ); document.write( " $\"f%28x%29+-a\"$ - means $\"f%28x%29\"$ shifted $\"downward\"$ $\"a\"$ $\"units+\"$
\n" ); document.write( " $\"f%28x+%2B+a%29\"$ - means $\"f%28x%29\"$ shifted $\"left\"$ $\"a\"$ $\"units+\"$
\n" ); document.write( " $\"highlight%28f%28x+-a%29%29\"$ - means $\"f%28x%29\"$ shifted $\"right\"$ $\"a\"$ $\"units+\"$
\n" ); document.write( " $\"-f%28x%29\"$ - means $\"f%28x%29\"$ is $\"flipped\"$ $\"upside\"$ $\"+down\"$ (reflected about the $\"x-axis\"$ )
\n" ); document.write( " $\"f%28-x%29\"$ is the mirror of $\"f%28x%29\"$ (reflected about the $\"y-axis\"$ )\r
\n" ); document.write( "\n" ); document.write( "you are given $\"f%28x%29=x%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C++x%5E2%29+\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and you need to find an equation for the horizontal translation of
\n" ); document.write( " $\"f%28x%29=x%5E2\"$ $\"3.7\"$ units right, you need $\"f%28x-a%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x-a%29=%28x-a%29%5E2+\"$ where $\"a=3.7\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x-3.7%29=%28x-3.7%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C++%28x-3.7%29%5E2%29+\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "let's see both functions on same graph:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C++x%5E2%2C%28x-3.7%29%5E2%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );