Question

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 down.
B.
It is the graph of f(x) translated 3 units to the left.
C.
It is the graph of f(x) translated 3 units up.
D.
It is the graph of f(x) where the slope is decreased by 3.

Answer 1

The graph of g(x) = f(x) - 3 is the graph of f(x) = x translated 3 units down.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point either up, down, left or right of a coordinate plane.

The graph of g(x) = f(x) - 3 is the graph of f(x) = x translated 3 units down.

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