If the function y=1/x is translated to the left 2 units and up 6 units, what is the new horizontal asymptote
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Answer:
y=6
Step-by-step explanation:
The horizontal asymptote for y = 1/x is the x-axis, y = 0.
Shifting the graph up 6 makes the asymptote move up, too, to y = 6.
See the attached image:
y = 1/x is purple
y = 1/(x + 2) + 6 is black