What is the equation of the graph after a vertical stretch by a factor of 2, followed by a horizontal translation 5 units to the left, and then a vertical translation 3 units down?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
1. Vertical stretch by a factor of 2:
If is stretched vertically by a factor , the new equation becomes .
For , after vertical stretch by a factor of 2, the equation becomes .
2. Horizontal translation 5 units to the left:
If is translated units to the left, the new equation becomes
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