Which transformations have been performed on the graph of f(x)=x√3 to obtain the graph of g(x)=−2x√3−1?
Select each correct answer.
compress the graph closer to the x-axis
reflect the graph over the x-axis
stretch the graph away from the x-axis
translate the graph to the left
translate the graph up
translate the graph to the right
translate the graph down
Answers
Answer:
Step-by-step explanation:
1. translate the graph down
2. stretch the graph away from the x-axis
3. reflect the graph over the x-axis
Answer:
Required correct options are reflect the graph over the x-axis, stretch the graph away from the x-axis, translate the graph to the left, translate the graph down.
Step-by-step explanation:
The given functions are:
If we draw graph of two function then we can observe that the graph of g(x) can be obtained by performing the following transformations on the graph of f(x):
Reflection over the x-axis
Stretch away from the x-axis by a factor of 2.
Translation to the left by 1 unit.
Translation down by 1 unit.
Therefore, the correct answers are
- Reflect the graph over the x-axis
- Stretch the graph away from the x-axis
- Translate the graph to the left
- Translate the graph down
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