Question

a(0, -6), b(4, -6), c(2, -2), d(-2, -2)
translate 2 units up and 5 units left
a: ______, b: ______
c: ______, d: ______

Explanation:

Step1: Recall translation rule

For a point $(x,y)$, translating 2 units up and 5 units left gives $(x - 5,y + 2)$.

Step2: Calculate A'

For point A(0, - 6), $x=0,y = - 6$. Then $x'=0 - 5=-5,y'=-6 + 2=-4$. So A' is (-5,-4).

Step3: Calculate B'

For point B(4, - 6), $x = 4,y=-6$. Then $x'=4 - 5=-1,y'=-6 + 2=-4$. So B' is (-1,-4).

Step4: Calculate C'

For point C(2, - 2), $x = 2,y=-2$. Then $x'=2 - 5=-3,y'=-2 + 2=0$. So C' is (-3,0).

Step5: Calculate D'

For point D(-2, - 2), $x=-2,y=-2$. Then $x'=-2 - 5=-7,y'=-2 + 2=0$. So D' is (-7,0).

Answer:

A': (-5,-4)
B': (-1,-4)
C': (-3,0)
D': (-7,0)