Point A is located at (−5, 2) on a coordinate grid. Point A is translated 8 units to the right and 3 units up to create point A'. Which measurement is closest to the distance between point A and point A' in units?

units

Step-by-step explanation:

1. Think of it as a triangle. (-5, 2) is the starting point (one vertex). Use pythagorean theorem to solve.

Leg 1: 8 units (to right)

Leg 2: 3 units (upwards)

Leg 3:

Solve for x because hypotenuse gives the distance between the two points.

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option