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  • 02-05-2021
  • Mathematics
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If the function y=1/x is translated to the left 2 units and up 6 units, what is the new horizontal asymptote

If the function y1x is translated to the left 2 units and up 6 units what is the new horizontal asymptote class=

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ivycoveredwalls
ivycoveredwalls ivycoveredwalls
  • 02-05-2021

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

Ver imagen ivycoveredwalls
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