Using matrix methods, how to find the image of the point ((1), (-2)) under each of the following transformations?: 1) dilation of the factor 3 from the x-axis 2) reflection in the y-axis

1 Answer
Jan 30, 2018

See the explanation below

Explanation:

The matrix for the dilation by a factor 3 from the x-axis is

A=((1,0),(0,3))

Therefore, the image is

((x'),(y'))=A*((1),(-2))=((1,0),(0,3))*((1),(-2))=((1),(-6))

The image of (1,-2) by a dilation factor 3 from the x-axis is (1,-6)

The matrix for the reflection in the y-axis is

B=((-1,0),(0,1))

Therefore, the image is

((x'),(y'))=B*((1),(-2))=((-1,0),(0,1))*((1),(-2))=((-1),(-2))

The image of the point (1,-2) by a reflection in the y-axis is (-1,-2)