Question

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

Answer 1

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 2

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:

$f(x) = x \sqrt{3} \\ g(x) = −2x \sqrt{3} − 1$

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

1. Reflect the graph over the x-axis
2. Stretch the graph away from the x-axis
3. Translate the graph to the left
4. Translate the graph down

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