Carlos uses a vertical number line to graph the points −4, −2, 3, and 4. he notices that −4 is closer to zero than −2. he is not sure about his diagram. use what you know about a vertical number line to determine if carlos made a mistake or not. support your explanation with a number line diagram.

Step-by-step explanation:

The number line is a line with marks, where each mark represents a real number.

In the vertical number line zero is in the center. The numbers above zero are considered positive and the numbers below zero are considered negative.

4

3

2

1

0

-1

-2

-3

-4

The numbers after zero start from 0, 1, 2 and 0, -1, -2

Hence, Carlos is wrong and -4 is further to zero than -2

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4