Using the transformation T: (x,y) → (x + 2, y + 1), find the distance named.
Find the distance CB

Answer: square root of 10
Step-by-step explanation:
If you have other questions like find the distance of AB or A’B’ they are the square root of 10 for this same triangle so therefore this distance would be the same.
The distance CB is √ 10.
A function f, usually with some geometrical underpinning, that maps a set X to itself.
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
The mathematical way to write a translation is the following: (x, y) → (x + 5, y - 3), because you have moved five positive spaces in the x direction and three negative spaces in the y direction. Rotation of an object involves moving that object about a fixed point.
The transformation T consists of a translation of 2 units to the right and 1 unit up.
Now, the distance CB is the sames as distance C'B'.
Using distance formula:
C'=(0,3), B'=(3,4). Then,
√(3-0)² + (4-3)²
=√ 10
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