Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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

Sagot :

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