Question

The reciprocal squared function y=1/x^2 shifted down 4 units and right 1 unit Find the vertical and horizontal asymptote(s)

Answer 1

The parent function

$y=\frac{1}{x^2}$

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.