Question

To solve the equation 2|x - 1| - 5 = 1 graphically, which two equations would you graph?

A. y = |x - 1| and y = 1
B. y = 2|x - 1| - 5 and y = 1
C. y = 2|x - 1| - 5 and y = 0
D. y =2 |x - 1| - 5 and y = |x|

Answer 1

Graphically solving the equation involves plotting y = 2|x - 1| - 5 and y = 1, with their intersection points representing the solutions.

Step-by-step explanation:

To solve the equation 2|x - 1| - 5 = 1 graphically, you would graph the equations y = 2|x - 1| - 5 and y = 1. This corresponds to option B in the question. The first equation represents the absolute value function with a vertical stretch by a factor of 2 and a downward shift of 5 units; the second equation is a horizontal line at y = 1. The points of intersection between these two graphs give you the solution(s) to the original equation because they show where the two expressions are equal to each other.