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

1 Answer
Jan 30, 2018

"see explanation"

Explanation:

(1)

"multiply the coordinates by the scale factor"

rArr((x'),(y'))=color(red)(3)((1),(-2))=((3),(-6))

rArr(1,-2)to(3,-6)

(2)

"multiply by the associated reflection matrix"

"for "color(blue)"reflection in the x-axis"

•color(white)(x)((1,0),(0,-1))

rArr((x'),(y'))=((1,0),(0,-1))((x),(y))

color(white)(xxxxxxx)=((1,0),(0,-1))((1),(-2))=((1),(2))

rArr(1,-2)to(1,2)