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?

The parent function f x log x is used to graph gx 3logx2 6 Which transformation should be applied first and last class=

Respuesta :

The vertical shift is the most leftward transformation. So the answer is D Vertical shift down 6 units.

What is a function?

A function is defined as a relation between the set of inputs having exactly one output each.

The parent function, f (x) = log x, is used to graph g(x) = 3log(-x+2) - 6.

Is the same as

g(x) = 3 × log(-x+2) - 6.

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

Then apply the things inside the parenthesis. So the horizontal shift, compression, and reflections are next.

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

So the answer is D Vertical shift down 6 units.

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