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Find the horizontal shift, vertical shift, and equation of the graph.

Horizontal:
Vertical:
Equation: f(x)=

Find the horizontal shift, vertical shift, and equation of the graph. Horizontal: Vertical-example-1
User Stephanie
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Explanation:

this is a typical curve of 1/x.

the asymptotes are at x = -2 and y = -4.

so, the horizontal shift compared to the basic 1/x is -2.

the vertical shift is -4.

that gives us the equation

f(x) = (1/(x + 2)) - 4

the "-4" moves everything down by 4 from the original 1/x position, as every calculated functional value of 1/x is decreased by 4.

the "+2" moves everything left by 2 from the original 1/x position, as now every functional value of 1/x happens 2 units "earlier".

User Yassine Badache
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