  TT+5, give (a) the period, (b) the amplitude, (c) the equation of the2.30. For x)-3 sin 2x +midline, (d) the amount and direction of the vertical translation, (e) the amount and direction of thehorizontal translation, and (f) the range

Question help_outlineImage TranscriptioncloseTT +5, give (a) the period, (b) the amplitude, (c) the equation of the 2. 30. For x) -3 sin 2x + midline, (d) the amount and direction of the vertical translation, (e) the amount and direction of the horizontal translation, and (f) the range fullscreen
Step 1

You have asked a question with multiple sub parts. I will address the first three sub parts of the question. Please post the balance sub parts as a separate question.

A standard Simple Harmonic Motion (SHM) is given by: ± A sin (Bx + C)

For such a standard SHM, A = amplitude; Time period = 2 π / B

Our equation is: h(x) = -3 sin (2x +  π /2) + 5

A = 3; B = 2

Step 2

Part (a)

Time period = 2π / B = 2π / 2 =  π

Step 3

Part (b)

The amplitu...

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