Question

a(0, -7), b(4, -7), c(2, -2) translate 6 units right and 3 units up a: _, b: _ c: _

Explanation:

Step1: Recall translation rule

For a translation of $h$ units right and $k$ units up, the rule for a point $(x,y)$ is $(x + h,y + k)$. Here $h = 6$ and $k=3$.

Step2: Translate point A

For point $A(0,-7)$, using the rule $(x + h,y + k)$ with $x = 0,y=-7,h = 6,k = 3$, we get $A'(0 + 6,-7+3)=(6,-4)$.

Step3: Translate point B

For point $B(4,-7)$, using the rule $(x + h,y + k)$ with $x = 4,y=-7,h = 6,k = 3$, we get $B'(4 + 6,-7+3)=(10,-4)$.

Step4: Translate point C

For point $C(2,-2)$, using the rule $(x + h,y + k)$ with $x = 2,y=-2,h = 6,k = 3$, we get $C'(2 + 6,-2+3)=(8,1)$.

Answer:

$A':(6,-4)$
$B':(10,-4)$
$C':(8,1)$