What is the equation of the graph after a vertical stretch by a factor of 3, followed by a reflection across the x-axis, a horizontal translation 4 units to the left, and then a vertical translation 1 unit up?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
1. Vertical stretch by a factor of 3:
If is stretched vertically by a factor , the new equation becomes .
For , after vertical stretch by a factor of 3, the equation becomes .
2. Reflection across the x-axis:
If is reflected across the x-axis, the new equation becomes .
After reflection, the equation is
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