Can you help me on this I was abent in this topic.
y=|x-4|-3


Sagot :

Find the y and x intercept so that you can draw a plane and know what other corresponding values which can make your equation true.

y intercept - ( 0 , y)
x intercept - ( x , 0)

y intercept:

y = |0 - 4| - 3
y = |-4| - 3
y = 4 - 3
y = 1

x intercept:

0 = |x - 4| - 3
0 + 3 = |x - 4| -3 + 3
3 = |x - 4| 
3 = x - 4 
3 + 4 = x - 4 + 4
7 = x (possibility 1)

-3 = x - 4
-3 + 4 = x - 4 + 4
1 = x (possibility 2)

y intercept: (0, 1)
x intercepts: (7, 0) or (1, 0)