Give the vertex of each function or inequality
f(x)=|x-1|-1

(1,-1)

Step-by-step explanation:

The vertex is the minimum point (in this case). That happens when x - 1 = 0. The reason for that is because the absolute value is going to added to minus 1. The absolute value is always plus.

x - 1 = 0

x - 1+1 = 0 + 1

x = 1

So the minimum point is going to be (1,-1)

Here's a graph to help you along.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

answer: 20

step-by-step explanation: