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Q y=vert x-1vert +5 What shifts have occurred? left 1, down 5 left 1, up 5 right 1 down 5 right 1.up 5

Pergunta

Q
y=vert x-1vert +5
What shifts have occurred?
left 1, down 5
left 1, up 5
right 1 down 5
right 1.up 5

Q y=vert x-1vert +5 What shifts have occurred? left 1, down 5 left 1, up 5 right 1 down 5 right 1.up 5

Solução

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Tatiana MariaMestre · Tutor por 5 anos

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The function y = |x - 1| + 5 has been shifted right by 1 unit and up by 5 units.

Explicação

## Step 1
The given function is y = |x - 1| + 5. This function is a transformation of the basic absolute value function y = |x|.

## Step 2
The absolute value function y = |x| is shifted to the right by 1 unit when the function is written as y = |x - 1|. This is because the "-1" inside the absolute value function shifts the graph to the right by 1 unit.

## Step 3
The absolute value function y = |x| is shifted up by 5 units when the function is written as y = |x| + 5. This is because the "+5" outside the absolute value function shifts the graph up by 5 units.

## Step 4
Combining the shifts from Step 2 and Step 3, we can conclude that the function y = |x - 1| + 5 is shifted right by 1 unit and up by 5 units.
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