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Nesterboy [21]
3 years ago
12

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|

Mathematics
2 answers:
Advocard [28]3 years ago
7 0
The answer to this is B
pantera1 [17]3 years ago
5 0

Answer:

B.F(x)=-\mid{x-1}\mid

Step-by-step explanation:

We are given that a function

f(x)=\mid x\mid

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

(x,y)\rightarrow (x,-y)

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

g(x)=-\mid x\mid

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

(x,y)\rightarrow (x-a,y)

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

F(x)=-\mid{x-1}\mid

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