Johan found that the equation -2|8-x|-6=-12 has two possible solutions: x=5 and x=-11. which explains wether his solutions are correct

-2|8-x|-6=-12

-2|8-x|=-6

|8-x|=3

8 - x = 3 and 8 - x = -3

8 - x = 3

-x = -5

x = 5

8 - x = -3

-x = -11

x = 11

Johan's second solution is incorrect.

The solution is x = 5 and 11

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: