Question

How do you use transformation to graph the sin function and determine the amplitude and period of `y=-2sinx`?

Answer 1

The period is `2pi` and the amplitude is `+-2`

Explanation:

The amplitude of `sin(x)` is `+-1` so `2sin(x)`increases that to `+-2`
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If `y_1=sin(x)" "`then`" "y_2=2y_1=2sin(x)`
So `y_2` is twice as big as `y_1`
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Then by changing `2sin(x)` to `-2sin(x)` what was positive will be negative and what was negative will be positive.

The period does not change. What changes the period is something like `sin(ax)` where `a` is a constant.

The period is `2pi` and the amplitude is `+-2`