Question

If the parent function is y = 1/x, describe the change in the equation y = 1/(x+4)

a) Moves 4 units to the left

b) Moves 4 units to the right

c) Moves 4 units up

d) Moves 4 units down

Answer 1

f(x) + n - shift a graph n units up

f(x) - n - shift a graph n units down

f(x + n) - shift a graph n units left

f(x - n) - shift a graph n units right

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We have:

`y=(1)/(x)\to y=(1)/(x+4)\\\\f(x)=(1)/(x)\to f(x+4)=(1)/(x+4)`

Answer: a) Moves 4 units to the left