SOLUTION: Write an equation for a function that is the graph of {{{ y=1/x^3 }}} reflected through the y-axis and shifted down 3 units

Question 278070: Write an equation for a function that is the graph of reflected through the y-axis and shifted down 3 units
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
Write an equation for a function that is the graph of reflected through the y-axis and shifted down 3 units,
We start with the graph of

It has the x and the y-axis as asymptotes
Then we reflect it through the y-axis by replacing by .
becomes

which simplifies to:

This gives the graph below

with the same two asymptotes.
Finally we shift it down 3 units by subtracting 3 from the
right side, which gives the equation
}
and the graph is:

The blue dotted line is the asymptote. The original curve had
the x-axis and y-axis as its asymptotes, and this new graph has the line y=-3 as its horizontal asymptote, and has the y-axis as its vertical asymptote..
Edwin

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