Pergunta
![Which of the following describes the horizontal and vertical translations of the following functions:
f(x)=vert x+4vert -9
Right 4
Down 9
Right 4
up 9
Left 4
up 9
Left 4
Down 9](https://static.questionai.br.com/resource%2Fqaiseoimg%2F202501%2Ffollowing-describes-horizontal-vertical-translations-tSZwKTcoAl0R.jpg?x-oss-process=image/resize,w_558,h_500/quality,q_35/format,webp)
Which of the following describes the horizontal and vertical translations of the following functions: f(x)=vert x+4vert -9 Right 4 Down 9 Right 4 up 9 Left 4 up 9 Left 4 Down 9
Solução
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SarahElite · Tutor por 8 anos
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The function is shifted 4 units to the left and 9 units down.
Explicação
## Step 1
The given function is . This function is a transformation of the basic absolute value function .
## Step 2
The term inside the absolute value function indicates a horizontal shift. The positive value of 4 inside the absolute value function indicates a shift to the left by 4 units. This is because the transformation shifts the graph units to the left.
## Step 3
The term outside the absolute value function indicates a vertical shift. The negative value of 9 outside the absolute value function indicates a shift downwards by 9 units. This is because the transformation shifts the graph units up if is positive and down if is negative.
The given function is . This function is a transformation of the basic absolute value function .
## Step 2
The term inside the absolute value function indicates a horizontal shift. The positive value of 4 inside the absolute value function indicates a shift to the left by 4 units. This is because the transformation shifts the graph units to the left.
## Step 3
The term outside the absolute value function indicates a vertical shift. The negative value of 9 outside the absolute value function indicates a shift downwards by 9 units. This is because the transformation shifts the graph units up if is positive and down if is negative.
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