4.07 Transform Linear Equations - Algebra

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Which statement correctly describes the relationship between the graph f (x) and the graph of g (x) = f (x) + 3?

The graph g (x) is the graph of f (x) translated 3 units up.

Which statement correctly describes the relationship between the graph of f (x) and g (x) = f (x − 3)?

The graph of g (x) is the graph of ​f (x)​ translated 3 units right.

The graph of function g is a vertical stretch of the graph of function f ​​by a factor of 3. Which equation describes function g?

g (x) = 3 f (x)

The graph of g (x) is the graph of f (x) = x + 6 reflected across the x-axis. Which equation describes function g?

g (x) = −x − 6

What transformation takes the graph of f (x) = 3 x + 8 to the graph of g (x) = 3 x + 6?

Translation 2 units down.


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