Question

geometry translations explained! ... the image of δefg after the following transformation: t (6, -1) e(-8, -1) f(0, 2) g(-3, -8) ... multiple-choice question what is the effect on the y coordinates of the points? options: add 6, subtract 1, add 6, subtract 6 (partial text)

Explanation:

The transformation is \( T_{6, -1} \), which means a translation of 6 units in the x - direction and - 1 unit in the y - direction. For the y - coordinates, we apply the change of subtracting 1 (since the y - component of the translation vector is - 1). Let's check with a point, say \( E(-8, - 1) \). After translation, the new y - coordinate would be \( -1+( - 1)=-2 \), which is equivalent to subtracting 1 from the original y - coordinate. Similarly, for \( F(0,2) \), the new y - coordinate is \( 2+( - 1) = 1\), which is subtracting 1 from 2. So the effect on the y - coordinates is to subtract 1.

Answer:

Subtract 1