See the graphs below
Explanation:
FOR GRAPH 1:
Let's take:
[tex]f(x)=sin(x)[/tex]
Let's transform this function as follows:
Step 1. Horizontal compression by 1/2:
[tex]f(x)=sin(2x)[/tex]
Step 2. Vertical stretch:
[tex]f_{1}(x)=2sin(2x)[/tex]
Step 3. Vertical shifting 3 units down
[tex]f_{2}(x)=2sin(2x)-3[/tex]
Finally:
[tex]h(x)=f_{2}(x)=2sin(2x)−3[/tex]
The graph is shown in the First Figure below.
FOR GRAPH 2:
Applying a similar method we get:
- Step 1. Horizontal compression
- Step 2. Vertical stretch
- Step 3. Vertical shifting
The graph is shown in the Second Figure below.
Learn more:
Equation of lines: https://brainly.com/question/10252613
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