Question

d(-4, -5), e(0, -5), f(-1, -3), g(-3, -3) translate 3 units left and 2 units down d: __, e: f: , g: __

Explanation:

Step1: Recall translation rule

For a translation 3 units left and 2 units down, we subtract 3 from the x - coordinate and 2 from the y - coordinate of each point.

Step2: Translate point D

For point D(-4,-5), the new x - coordinate is $-4 - 3=-7$ and the new y - coordinate is $-5-2 = - 7$. So D' is (-7,-7).

Step3: Translate point E

For point E(0,-5), the new x - coordinate is $0 - 3=-3$ and the new y - coordinate is $-5 - 2=-7$. So E' is (-3,-7).

Step4: Translate point F

For point F(-1,-3), the new x - coordinate is $-1-3=-4$ and the new y - coordinate is $-3 - 2=-5$. So F' is (-4,-5).

Step5: Translate point G

For point G(-3,-3), the new x - coordinate is $-3-3=-6$ and the new y - coordinate is $-3 - 2=-5$. So G' is (-6,-5).

Answer:

D': (-7,-7), E': (-3,-7), F': (-4,-5), G': (-6,-5)