Question

a shape is translated according to the algebraic representation below. what is the image of the point (0, -2)?
$(x, y) \to (x + 2, y + 4)$
show your work here

Explanation:

Step1: Identify x and y values

Given point \((0, -2)\), so \(x = 0\), \(y=-2\).

Step2: Apply translation rule

Using \((x,y)\to(x + 2,y + 4)\), substitute \(x = 0\) and \(y=-2\).
For x - coordinate: \(0+2 = 2\)
For y - coordinate: \(-2 + 4=2\)

Answer:

The image of the point \((0,-2)\) is \((2,2)\)