Q:

Use the given parent function f(x) = |x| to graph g(x) = |x| -4.Use the ray tool and select two points to graph each ray.Can somebody help me please I hate graphs

Accepted Solution

A:
Answer:Look to the attached graphStep-by-step explanation:* Lets explain the difference between the graphs of f(x) and g(x)∵ f(x) = IxI ∵ g(x) = IxI - 4- If we add are subtract f(x) by k, where k is a constant that means  we translate f(x) vertically- If g(x) = f(x) + k∴ f(x) translated vertically k units up- If g(x) = f(x) - k∴ f(x) translated vertically k units down∵ g(x) = IxI - 4∵ f(x) = IxI∴ g(x) = f(x) - 4∴ f(x) translated vertically 4 units down∴ The graph of f(x) will translate down 4 units∵ The origin point (0 , 0) lies on f(x)∴ The origin point (0 , 0) will translate down by 4 units∴ Its image will be point (0 , -4)∴ Point (0 , -4) lies on the graph of g(x)- So you can translate each point on the graph of f(x) 4 units down to  graph g(x)# Two point on the left part∵ Point (-2 , 2) lies on f(x)∴ Its image after translation 4 units down will be (-2 , -2)∴ Point (-2 , 2) lies on g(x)∵ Point (-7 , 7) lies on f(x)∴ Its image after translation 4 units down will be (-7 , 3)∴ Point (-7 , 3) lies on g(x)# Two point on the right part∵ Point (3 , 3) lies on f(x)∴ Its image after translation 4 units down will be (3 , -1)∴ Point (3 , -1) lies on g(x)∵ Point (8 , 8) lies on f(x)∴ Its image after translation 4 units down will be (8 , 4)∴ Point (8 , 4) lies on g(x)* Now you can draw the graph with these 5 points