If g is a horizontal shrink by a factor of 2/3, followed by a translation 4 units left of the graph of f(x)= √6x, the sequence of transformation from f(x) to g(x) is:
Dilation by a factor of 2/3
Horizontal translation to the left by 4 units
g(x) = 2/3 [√6(x - 4)]
The given function is f(x)= √6x
Shrink the function f(x)= √6x by a factor of 2/3, the resulting function becomes 2/3 (√6x)
Translate the resulting function by 4 units to the left of the graph to form g(x)
g(x) = 2/3 [√6(x - 4)]
Therefore, the sequence of transformation from f(x) to g(x) is:
Dilation by a factor of 2/3
Horizontal translation to the left by 4 units
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