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)#