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creativ13 [48]
3 years ago
11

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.  <span>the multiplication by -2 increases y value twice and then  symmetrically reflects the graph y=2sinx about the x-axis;</span>
2. adding -1 to the  <span>y=-2sinx you translate the graph 1 unit down.
</span><span>
</span><span>On the added picture black line is a graph of y=sinx and red line is a graph of y=-2sinx-1.</span>

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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