QuestionIdentify the parent function and transformations for $$g(x)=|x+3|+6$$. Options for parent function: $$y=x^{2}$$, $$y=x^{3}$$, $$y=|x|$$, $$y=\sqrt{x}$$, $$y=\sqrt[3]{x}$$.

Studdy Solution
Since $k=6$, there is a vertical shift of6 units upwards. So, the correct transformation for part (d) is a vertical shift of6 units upwards.
To summarizea) The correct parent function is $y=|x|$. b) There is no reflection. c) There is no stretch or compression. d) The correct vertical shift is6 units upwards. e) The correct horizontal shift is3 units to the left.