Question 889659
You can say that the x that your friend used 
before is no longer valid. You are giving the 
friend a new {{{ x[1] }}} with the relation {{{ x[1] = x + 4 }}} 
If {{{ x = -4 }}}, then {{{ x[1] = 0 }}}
so the graph is shifted left {{{ 4 }}} units
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The {{{ ( x[1] )^6 }}} gets inverted about the x-axis
and each {{{ f(x[1]) }}} gets multiplied by {{{ 3 }}}
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Then the graph gets shifted down {{{ 8 }}} units
Here are both functions:
{{{ graph( 400, 400, -10, 10, -50, 50, x^6, -3*( x+4 )^6 - 8 ) }}}