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

The reciprocal squared function y=1/x^2 shifted down 4 units and right 1 unit Find-example-1
User Ionut Ungureanu
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1 Answer

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The parent function


y=(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.

User Zabbu
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