document.write( "Question 889659: Your friend hands you a graph of the engine power statistics of a race car. He says, “I know this graph is f(x) = –3(x + 4)^6 – 8 but I can’t remember how it is related to the graph of x^6.” Explain to your friend how the graph f(x) is a translation of the graph x^6. \n" ); document.write( "

Algebra.Com's Answer #538328 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can say that the x that your friend used
\n" ); document.write( "before is no longer valid. You are giving the
\n" ); document.write( "friend a new $\"+x%5B1%5D+\"$ with the relation $\"+x%5B1%5D+=+x+%2B+4+\"$
\n" ); document.write( "If $\"+x+=+-4+\"$ , then $\"+x%5B1%5D+=+0+\"$
\n" ); document.write( "so the graph is shifted left $\"+4+\"$ units
\n" ); document.write( "--------------------------------------
\n" ); document.write( "The $\"+%28+x%5B1%5D+%29%5E6+\"$ gets inverted about the x-axis
\n" ); document.write( "and each $\"+f%28x%5B1%5D%29+\"$ gets multiplied by $\"+3+\"$
\n" ); document.write( "----------------------------------------
\n" ); document.write( "Then the graph gets shifted down $\"+8+\"$ units
\n" ); document.write( "Here are both functions:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-10%2C+10%2C+-50%2C+50%2C+x%5E6%2C+-3%2A%28+x%2B4+%29%5E6+-+8+%29+\"$ \n" ); document.write( "

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