Question

1. a function that maps points in the plane to other points in the plane is called a

(1) movement
(2) notation
(3) transformation
(4) calculation

1. if a geometric transformation does not change the shape or size of a figure it is referred to as

(1) preserving function
(2) rigid motion
(3) identity mapping
(4) unitary diagram

1. if point ( a ) gets mapped by a transformation to point ( a ), the original point, ( a ), is know

(1) origin point
(2) image point
(3) pre - image point
(4) inner point

1. if the transformation ( f:(x,y)\to(3x,y - 5) ) is used to map the point ( a(4,)

are the coordinates of its image point?
(1) ( (12,-3) )
(2) ( (6,-1) )
(3) ( (7,-10) )
(4) ( (3,-5) )

Explanation:

Step1: Sustituir valores en la transformación

Dado el punto \(A(4,2)\) y la transformación \(f:(x,y)\to(3x,y - 5)\). Sustituimos \(x = 4\) y \(y=2\) en la fórmula.
Para la coordenada \(x\) de la imagen: \(3x=3\times4 = 12\).
Para la coordenada \(y\) de la imagen: \(y-5=2 - 5=-3\).

Answer:

1. (3) transformation
2. (2) rigid motion
3. (3) pre - image point
4. (1) \((12,-3)\)