See the graphs
Explanation:
First Case:
Here we have the following function:
[tex]h(x)=2sin(2x)-3[/tex]
In order to graph this function, first let's take:
[tex]f(x)=sin(x)[/tex]
Step 1. Compress horizontally this function by 1/2, so it becomes:
[tex]f_{1}(x)=sin(2x)[/tex]
Step 2. Stretch vertically this function, so it becomes:
[tex]f_{2}(x)=2sin(2x)[/tex]
Step 3. Shift the graph of the function three units down.
[tex]f_{2}(x)=2sin(2x)-3[/tex]
Second Case:
Applying a similar method, we get:
Step 1. Compress horizontally this function by 1/2, so it becomes:
Step 2. Stretch vertically this function, so it becomes:
Step 3. Shift the graph of the function tow units down.
Finally, the graphs are shown below.
Learn more:
Parabolas: https://brainly.com/question/11813702
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