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

Respuesta :

tstanley0404
It passes to the y-axis and not the x-axis at the point four. The graph represents that it should be increasing at the slope of the point one.

Answer:

Refer the attached graph.    

Step-by-step explanation:

Given : On each coordinate plane,the parent function [tex]f(x)=|x|[/tex] is represented by a dash line translation is represented by a solid line.

To find : Which graph represents the the translation [tex]g(x)=|x+2|[/tex] as a solid line?

Solution :

The parent function [tex]f(x)=|x|[/tex]

with the vertex (0,0)

And the graph of  [tex]g(x)=|x+2|[/tex]

with the vertex (-2,0)

The graph of g(x) is the translation of f(x)

The parent function is translated towards left.

Transformation to the left,

f(x)→f(x+b) , the graph of f(x) is shifted towards left by b unit.

Same as the graph f(x) is shifted towards left by 2 unit and form graph of g(x).

We plot the graph of both the equations in which translation is shown.

Refer the attached graph below.

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