Question

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 1

`"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)`