SOLUTION: 2. Describe what the graph of f(x) = -sin(3x - 𝝿) - 2 would look like? Address all numerical elements and their effects on the parent function.

Question 1205931: 2. Describe what the graph of f(x) = -sin(3x - 𝝿) - 2 would look like? Address all numerical elements and their effects on the parent function.
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Describe what the graph of

this graph is of the form where , ,,

amplitude:
period:
phase shift: to the right
vertical shift: ( units down)

Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
Describe what the graph of f(x) = -sin(3x - 𝝿) - 2 would look like?
Address all numerical elements and their effects on the parent function.
~~~~~~~~~~~~~~~~~~~~~

        The solution/answer by @MathLover1 in not completely correct.
        I came to fix an error in her solution.

Given function f(x) = is IDENTICAL to / (is the same as) f(x) = . The parent finction is a(x) = sin(x). Amplitude of f(x) is 1. Period of f(x) is . Phase shift of f(x) is 0 (zero). Vertical shift is -2 (2 units down).

Solved.

Find the difference between my solution/answer and solution/answer by @MathLover1.

--------------------

This problem is a TRAP :   it has a huge underwater stone for unexperienced reader.

The sign "-" (minus) before sine and the shift by in the argument
mutually annihilate each other, so the final function, actually, has no shift (!)

The meaning of the problem is to teach a reader recognizing
such traps to avoid falling into them in the future.

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