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On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line?

On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (2, 0).

On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (0, negative 2).

On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (negative 2, 0).

On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (0, 2).

Respuesta :

Using shifting concepts, we get that the graph that represents the translation g(x) = |x + 2| as a solid line is:

On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (-2, 0).

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  • Shifting a function f(x) a units to the left is the same as finding f(x + a).

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  • The vertex of the function f(x) = |x| is at the point where x = 0, and thus, f(x) = 0. Thus, the vertex of the dashed line is at (0,0).
  • The vertex of the function g(x) = |x + 2| is at the point where [tex]x + 2 = 0 \rightarrow x = -2[/tex], g(-2) = |-2 + 2| = 0. Thus, the vertex of the solid line is at (-2,0).

Thus, the correct option is:

On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (-2, 0).

At the end of the exercises, there are are the graphs of those two functions, considering the dashed line as the red line and the solid line as the blue line.

A similar question is given at https://brainly.com/question/23630829

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DanielLarusso69

Answer:

Not D

Step-by-step explanation:

Petty sure It's C

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