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Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x) + 3?
A.
It is the graph of f(x) translated 3 units up.
B.
It is the graph of f(x) translated 3 units to the right.
C.
It is the graph of f(x) where the slope is decreased by 3.
D.
It is the graph of f(x) translated 3 units down.

Respuesta :

tvester
The answer is D.  (It is the graph of f(x) translated 3 units down.)

The statement correctly describes the graph of g(x) if g(x) = f(x) + 3, it is the graph of f(x) translated 3 units down. The correct option is D.

What is transformation of graph?

When an existing graph is modified to produce a new variation of the existing graph.

Let y = f(x) then f(x)-3 means y-3. Subtracting 3 from the y coordinate of each point will move the entire curve down 3 units.

Thus, the correct option is D.

Learn more about transformation of graph

https://brainly.com/question/10059147

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