Consider the function f(x) = square root of x+3
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The parent function moves 4 units right and 3 units down. This is a translation by the vector.
According to the question,
Transformation maps onto
. Take f(x) =
and f(x+4)=
.
f(x) =
f(x+4)=
f(x+4) - 3= - 3
Analyze the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive 'x' direction. f(x)-3 corresponds to a vertical translation 3 units in the negative 'y' direction.
Hence, the parent function moves 4 units right and 3 units down. This is a translation by the vector.
Learn more about parent function here
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