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Determine how the given equation represents a transformation of the function f(x): y=f(x+6)-3

Determine How The Given Equation Represents A Transformation Of The Function Fx Yfx63 class=

Sagot :

Note that in any transformation in the form :

[tex]f(x+c)+d[/tex]

The parent function f(x) is translated c units to the left and d units upward. If the sign is negative, just take the opposite direction.

From the given function,

[tex]y=f(x+6)-3[/tex]

c = 6, positive

and

d = -3, negative

so the parent function is translated 6 units to the left and 3 units downward.

The answer is Choice C. left 6 units and down 3 units

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