Question

what are the coordinates of d, e, and f after a reflection over the y - axis? plot these points on the grid, and label them d, e and f.

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the y - axis, the new point is $(-x,y)$.

Step2: Determine coordinates of point D

Point D has coordinates $(3,3)$. After reflection over the y - axis, the x - coordinate changes sign. So D' has coordinates $(-3,3)$.

Step3: Determine coordinates of point E

Point E has coordinates $(0, - 5)$. After reflection over the y - axis, the x - coordinate changes sign. So E' has coordinates $(0,-5)$ (since $0$ is its own opposite).

Step4: Determine coordinates of point F

Point F has coordinates $(-2,-2)$. After reflection over the y - axis, the x - coordinate changes sign. So F' has coordinates $(2,-2)$.

Answer:

The coordinates of D' are $(-3,3)$, the coordinates of E' are $(0, - 5)$ and the coordinates of F' are $(2,-2)$.