Question

Which set of transformations is needed to graph f(x) = -0.1cos(x) - 4 from the parent cosine function?

Answer 1

Answer:

b)Reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

Step-by-step explanation:

Answer 2

Answer:

The correct option is;

Reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

Step-by-step explanation:

The given function is f(x) = -0.1·cos(x) - 4

The parent cosine function is cos(x)

Therefore, f(x) = -0.1·cos(x) - 4 can be obtained from the parent cosine function as follows;

The negative sign in the function gives a reflection across the x-axis

The 0.1 factor of the cosine function gives a compression of 0.1

The constant -4, gives a vertical translation 4 units down

Therefore, the correct option is a reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down.