Which answer describes the transformation of g(x) = log3(x+3)+1 from the parent function f(x) = log3x ?

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1 Answer
Jim G.
Dec 15, 2017

#"the graph of f(x) shifted 3 units left and 1 unit up"#

Explanation:

#"in general"#

#"to obtain" f(x+-a)" from "f(x)#

#• " if "a>0" the graph shifts "color(blue)"a units left"#

#• " if "a<0" the graph shifts "color(blue)"a units right"#

#"to obtain "f(x)+-a" from "f(x) #

#• " if "a>0" then graph shifts "color(red)"a units vertically up"#

#• " if "a<0" then graph shifts "color(red)"a units vertically down"#

#rArrlog_3(xcolor(blue)(+3))color(red)(+1)#

#"is the graph of "log_3x#

#"shifted "color(blue)"3 units left "" and "color(red)"1 unit up"#

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