Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 88 and -92

The distance between them is 180 units

Step-by-step explanation:

Given

Required

Using absolute value, calculate the distance between them

The distance d is calculated as:

Substitute values for a and b

It can also be calculated using:

Substitute values for a and b

Open bracket

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2