Question 845539
Graph {{{f(x)}}} and at each x point, use the y point and move 4 units down and then cross the y axis to {{{-x}}}. The entire graph will look exactly like f(x) 
except mirrored across the y-axis and will be 4 units lower.
Here's an example.
{{{f(x)=(1/2)x^3-2}}}
{{{g(x)=f(-x)-4=-(1/2)x^3-2x-6}}}
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Here's the mirror of {{{f(x)}}} across the y-axis.
{{{graph(300,300,-10,10,-10,10,(1/2)x^3-2,-(1/2)x^3-2)}}}
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Now here it is with {{{f(x)}}} and {{{g(x)}}} together.
{{{graph(300,300,-10,10,-10,10,(1/2)x^3-2,-(1/2)x^3-6)}}}
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{{{f(x)}}} is in red.
{{{g(x)}}} is in green.