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Which absolute value function has a graph that is wider than the parent function when graphed represents the parent function f(x)=|x| reflected over the x-axis and translated 1 unit to the right

A. F(x) = -|x|+1
B. F(x) = -|x-1|
C. F(x) =|-x|+1
D. F(x) =|-x-1|

Which absolute value function has a graph that is wider than the parent function when graphed represents the parent function fxx reflected over the xaxis and tr class=

Respuesta :

Bladerunner1976
The answer to this is B
lublana

Answer:

B.[tex]F(x)=-\mid{x-1}\mid[/tex]

Step-by-step explanation:

We are given that a function

[tex]f(x)=\mid x\mid[/tex]

We have to find absolute value of function when parent function reflected over the x- axis and translated 1 unit to the right.

The transformation rule when the point (x,y) is reflected over x- axis is given by

[tex](x,y)\rightarrow (x,-y)[/tex]

Apply the reflection on function  over x- axis then, we get

[tex]g(x)=-\mid x\mid[/tex]

Transformation rule when the point (x,y) is shifted a units  towards right is given by

[tex](x,y)\rightarrow (x-a,y)[/tex]

When the graph is translated 1 units towards right then , obtained function is given by

[tex]F(x)=-\mid{x-1}\mid[/tex]

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