Pergunta
![Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units
f(x)=2vert x-1vert -9
f(x)=vert 2x+1vert -9
f(x)=2vert x+1vert -9
f(x)=vert 2x-1vert -9](https://static.questionai.br.com/resource%2Fqaiseoimg%2F202501%2Fwrite-absolute-value-function-given-following-tRZS4QeJAV0e.jpg?x-oss-process=image/resize,w_558,h_500/quality,q_35/format,webp)
Write an absolute value function given the following transformations: Vertical Stretch of 2 Horizontal shift left 1 unit Vertical shift down 9 units f(x)=2vert x-1vert -9 f(x)=vert 2x+1vert -9 f(x)=2vert x+1vert -9 f(x)=vert 2x-1vert -9
Solução
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AgostinhoProfissional · Tutor por 6 anos
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The correct function is .
Explicação
## Step 1
The problem involves transformations of the absolute value function. The transformations are:
- Vertical Stretch of 2
- Horizontal shift left 1 unit
- Vertical shift down 9 units
## Step 2
The vertical stretch of 2 means that the function is stretched vertically by a factor of 2. This is represented by multiplying the absolute value function by 2.
## Step 3
The horizontal shift left 1 unit means that the function is shifted to the left by 1 unit. This is represented by replacing with in the absolute value function.
## Step 4
The vertical shift down 9 units means that the function is shifted down by 9 units. This is represented by subtracting 9 from the function.
## Step 5
Combining all these transformations, we get the function .
The problem involves transformations of the absolute value function. The transformations are:
- Vertical Stretch of 2
- Horizontal shift left 1 unit
- Vertical shift down 9 units
## Step 2
The vertical stretch of 2 means that the function is stretched vertically by a factor of 2. This is represented by multiplying the absolute value function by 2.
## Step 3
The horizontal shift left 1 unit means that the function is shifted to the left by 1 unit. This is represented by replacing with in the absolute value function.
## Step 4
The vertical shift down 9 units means that the function is shifted down by 9 units. This is represented by subtracting 9 from the function.
## Step 5
Combining all these transformations, we get the function .
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