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Identify the parent function for the function g (x) = x- 3 from its function rule. Then graph g and identify what the transformation of the parent function it represents.

Identify the parent function for the function g (x) = x- 3 from its function rule-example-1
User Dave Snyder
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1 Answer

20 votes
20 votes

The parent function of g(x) = x - 3 is the linear function:


f(x)=x

Since g(x) is equal to:


g(x)=f(x)-3

We can conclude the function f(x) has been translated 3 units down, therefore, the answer is:

Linear; translation down 3 units

User Vincent Vettukal
by
3.1k points
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