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The grid shows the graph of the parent function. f(x)=|x| and a translated functions graph.

Write the equation for the translated graph

The grid shows the graph of the parent function. f(x)=|x| and a translated functions-example-1
User Dariusz Scharsig
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1 Answer

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13 votes

Answer:

f(x) = |x + 2| + 1

Explanation:

The graph of f(x) is translated 2 units to the left and 1 unit up

A horizontal translation of 2 units results in the original function being f(x +2)

A vertical translation of 1 unit happens at f(x) + 1

Horizontal translation of 2 units left of f(x) = |x| is f(x+2) = |x + 2|

Vertical translation of 2 units up : f(x) = |x| + 1

Combined we get g(x) = |x + 2| + 1

User Nilesh Pansuriya
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