Question

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.

Answer 1

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