If the parent function f(x)=\root(3)(x) is transformed to g(x)=\root(3)(x+2-4), which is the graph of g(x)?
2 answers:
Answer:
A)
Step-by-step explanation:
First we will graph th parent function which is a cube root and we can see it in the attachment #1.
In this excercise there are two types of transformations of the parent function:
First:
shifts the function b units to the left.(Attachment #2 )
Second:
shifts the function c units downward. (Attachment #3)
ANSWER
A.
EXPLANATION
The parent function is
This function is transformed to obtain
The +2 is a horizontal translation, that shifts the graph of the parent function to the left by 2 units.
The -4 is a vertical translation, that shifts the graph of the parent function down by 4 units.
The correct option is A.
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