What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x) + 6?
2 answers:
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To simplify
we need to use the fact that
Why the absolute value? It's because .
We start by rewriting as
Since , we have
, and the above reduces to
Then we pull out any 4th powers under the radical, and simplify everything we can:
where allows us to write
, and this also means that
. So we end up with
making the last option the correct answer.