Using matrix methods, how to find the image of the point (1,-2) for the transformations?...

uplakanimkk

uplakanimkk

Answered

2022-07-03

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

Answer & Explanation

Tamia Padilla

Tamia Padilla

Expert

2022-07-04Added 16 answers

MathJax(?): Can't find handler for document MathJax(?): Can't find handler for document 1) multiply the coordinates by the scale factor
( x y ) = 3 ( 1 - 2 ) = ( 3 - 6 )
( 1 , - 2 ) ( 3 , - 6 )
2) multiply by the associated reflection matrix
for reflection in the x-axis
x ( 1 0 0 - 1 )
( x y ) = ( 1 0 0 - 1 ) ( x y )
= ( 1 0 0 - 1 ) ( 1 - 2 ) = ( 1 2 )
( 1 , - 2 ) ( 1 , 2 )

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