Question

Write an equation for a translation of
that has the given asymptotes.

Answer 1

Answer:

If you subtract a constant from your x in the original function you shift the graph in the positive direction by that number of units.

And if you subtract a constant from your y in the original function you move its graph down by that number of units.

Your original function was y=4x. When you solve for the root of the denominator, you find the vertical asymptote. In this case, it is x=0, i.e. the y-axis.

And when x goes to ∞, y=4∞=0 which means your horizontal asymptote is y=0, i.e. the x-axis. 

Answer 2

Answer:

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Step-by-step explanation:

For horizontal asymptote, for the graph function y=f(x) where , the straight line equation is y=b, which is the asymptote of a function x→+∞ x → + ∞ , if the following limit is finite.