Question

The function g(x) = 1/2|x| is a transformation of the absolute value parent function. Which graph shows g(x)?

Answer 1

Answer:

A (A P E X)

Step-by-step explanation:

Answer 2

Given : The function g(x) = 1/2|x| is a transformation of the absolute value parent function.

To Find :  Which graph shows g(x)

Solution:

g(x) = 1/2|x|  

g(x) = (1/2)f(x)

y = af(x)

a > 1

It causes the graph to stretch vertically away from the -axis.

Hence Part d is not correct

as here a = 1/2 < 1

a < 1

It causes the graph to stretch vertically towards the -axis.  

Hence option a)  is correct

option b and  c shows horizontal and vertical translation

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