Question

Identify the parent function for the function g (x) = x^2 - 6 from its function rule. Then graph g and identify what transformation of the parent function it represents.

Answer 1

The parent function is

g(x) = x^2

This is a quadratic function because the exponent is 2.

The transformed function is

g(x) = x^2 - 6

Recall, if a function, f(x) is translated d units downwards, it becomes f(x) - d. Thus,

g(x) = x^2 - 6 means that g(x) = x^2 was translated 6 units downwards. Thus, the correct option is

option 2