The parent function
[tex]y=\frac{1}{x^2}[/tex]
has a vertical asymptote of x = 0, and a horizontal asymptote of y = 0.
Since there is a shift of 4 units down, the horizontal asymptote is now at y = -4.
And with the shift of 1 unit right, the vertical asymptote is now at x = 1.
