-3(4x - 2) - 2x
-12x + 6 - 2x
-14x + 6
The correct answer is D. -14x + 6
Well, the cheap answer is
f(x) = -3| x - 1 | is really just f(x) = -3| x - 1 | + 0.
now, what value of "x" makes the absolute value expression to 0?
well, let's just set it to 0 and check,
x - 1 = 0
x = 1
so if "x" ever becomes 1, the | x - 1| will turn to 0, therefore, the vertex is at
f(x) = -3| (1) - 1 | + 0 --------------> ( 1, 0 )
Lemme tell you a secret there is this app called photomath it helps with equations AND shows the work
Multiply both sides
8x-96=3x+24
move the terms
8x-3x=24+96
collect like terms
5x=120
solution:
x=24
Answer and workings in the attachment below.