1 answer
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Start with
y = log x
shifted 3 units left ----> y = log(x+3)
vertical compression by a factor of 2 -----> y = 2log(x+3)
reflection in the y-axis ----> y = 2log(-x+3)
shifted down 5 units : y = 2log(-x+3) - 5
I graphed each of the above using "Desmos" to confirm that each is correct
I assumed that each transformation stated was to follow the previous result