A composite transformation consists of two or more transformations with a procedure of starting from the rightmost transformation
The location of the image of the point (-3, 4), after the transformation [tex]D_2 \circ R90^{\circ}[/tex] is (-8, -6)
Reason:
The given coordinate is (-3, 4)
The required transformation is [tex]D_2 \circ R90^{\circ}[/tex]
Solution:
A rotation transformation of (x, y) 90° gives (-y, x)
Therefore;
The rotation of the point (-3, 4) 90° counterclockwise gives (-4, -3)
A transformation of D2 is a dilation by a scale factor of 2
Therefore; D2(-4, -3) gives 2×(-4, -3) = (-8, -6)
Which gives;
The image of (-3, 4), after the transformation [tex]D_2 \circ R90^{\circ}[/tex] → (-8, -6)
Learn more about composite transformations here;
https://brainly.com/question/12366556
