Question

how is the graph of y=(x-6)^2 transformed fromthe graph of y=x^2

Answer 1

Hi general formula for the transformations of a function is \(\LARGE y= \color{blue}{a}f(\color{red}{k}(x-\color{green}{d}))+\color{orange}{c}\)

where:
\(\color{blue}{a}\) is the vertical stretch or compression; it also determines the vertical reflection,
\(\color{red}{k}\) is horizontal stretch or compression; it also determines the horizontal reflection,
\(\color{green}{d}\) is the horizontal translation and
\(\color{orange}{c}\) is the vertical translations.