Question

The parent function, f (x) = log x, is used to graph g(x) = 3log(-x+2) - 6. Which transformation should be applied first? and last?

Answer 1

When applying transformations, it is best to always apply the stretch or compression first because remeber

in this instance

$3 log( - x +2) - 6$

Is the same as

$3 \times log( - x + 2) - 6$

So we like apply the vertical stretching, reflecting,, or compressing first.

We obviously then apply the things inside the parenthesis. So the horinzontal shift, compression, reflections next.

Then, finally we do the vertical shift since that the most leftward transformations.

So the answer is D