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Let g(x) be the transformation of f(x) = |x| so that the vertex is at (1, −3). Identify the rule for g(x) and its graph.


g(x) = |x + 1| − 3


g(x) = |x + 1| − 3


g(x) = |x − 1| − 3


g(x) = |x − 1| − 3

Answer :

Answer:

g(x) = ( x - 1 ) - 3

Step-by-step explanation:

The standard form of the absolute function is

y = a | x - h | + k

where (h, k ) are the coordinates of the vertex and a is the slope

Here (h, k ) = (1, - 3 ) , a = 1 , then

g(x) = (x - 1 ) - 3