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3 years ago

explain how the graph of y=-2sin(x)-1 differs from the parent function. Make sure to compare key points used for graphing

Mathematics

1 answer:

Anna35 [415]3 years ago

5 0

You can obtain the graph of the function y=-2sinx-1 from the graph of the function y=sinx making such transformations:
1. the multiplication by -2 increases y value twice and then symmetrically reflects the graph y=2sinx about the x-axis;
2. adding -1 to the y=-2sinx you translate the graph 1 unit down.

On the added picture black line is a graph of y=sinx and red line is a graph of y=-2sinx-1.

Check:
1. When x=0, y=-2sin0-1=-1;
2. When $x= \frac{3\pi}{2}$ , then $y=-2\sin \frac{3\pi}{2} -1=-2(-1)-1=2-1=1$ .

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