Which transformations are needed to change the parent cosine function to y = 3 cosine (10 (x minus pi))?

See Explanation

Step-by-step explanation:

Given

New function:

We can assume the parent function to be:

The new function can be represented as:

Where

A = Vertical stretch factor

B = Period

C = Right shift

By comparison:

to

Solve for B

Using the calculated values of This implies that, the following transformations occur on the parent function:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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step-by-step explanation:

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