The Multiplicative Property of Equality states that for real numbers a, b, c, and d, if a = b and c = d, then ac = bd.
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If we just have
that's an amplitude of 1 and a period of
Let's modify this step by step.
Amplitude of 4. Four times the amplitude means a factor of 4 on the outside.
Period of π. Double the period means a factor of 2 on the inside.
Horizontal shift of π/2 to the left. To the left means adding a positive number to x. The question appear ambiguous. It's not clear to me if we add to x or 2x; let's make it
Vertical shift of 3:
Depending on the interpretation of the phase shift, that pi may be a pi/2.
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