QuestionWhat transformation is needed to graph from ? Choose A, B, C, or D.
Studdy Solution
STEP 1
Assumptions1. The original function is
. The transformed function is
3. The transformation involves a shift, not a stretch or reflection
STEP 2
We need to identify the type of transformation that has occurred from the original function to the transformed function .
STEP 3
The transformation of a function can be identified by comparing the original function and the transformed function. In this case, we can see that the in the original function has been replaced by in the transformed function .
STEP 4
This replacement of with in the function indicates a horizontal shift. The direction of the shift is determined by the sign of the number added to .
STEP 5
In this case, is replaced by , which means the graph of the function is shifted to the left by7 units.Therefore, the correct answer isA. The graph of should be shifted horizontally left7 units.
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