Answer: B
Step-by-step explanation:
To find the values of x, we first need to write the function into an equation. We can derive 2 equations from the problem.
Equation 1: y=2|x+6|-4
Equation 2: y=6
Now, we can substitute.
2|x+6|-4=6
Let's solve for x.
2|x+6|-4=6 [add both sides by 4]
2|x+6|=10 [divide both sides by 2]
|x+6|=5 [subtract both sides by 6]
x=-1
Now that we know x=-1 is one of the solutions, we can eliminate C and D.
We know that the absolute value makes the number inside positive always. Therefore, let's solve for x with -5 instead.
|x+6|=-5 [subtract both sides by 6]
x=-11
Therefore, we know that B is the correct answer.
