Question

What is the image point of (-3,4)after the transformation D2∘R90∘ ​

Answer 1

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 $D_2 \circ R90^{\circ}$ is (-8, -6)

Reason:

The given coordinate is (-3, 4)

The required transformation is $D_2 \circ R90^{\circ}$

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  $D_2 \circ R90^{\circ}$  → (-8, -6)

Learn more about composite transformations here;

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