Question

j(0, -8), k(2, -6), l(-2, -8), m(2, -10) translate 4 units left and 6 units up j: __, k: l: , m: __

Explanation:

Step1: Recall translation rule

For a translation 4 units left and 6 units up, we subtract 4 from the x - coordinate and add 6 to the y - coordinate of each point.

Step2: Translate point J

For J(0, - 8), the new x - coordinate is \(0 - 4=-4\) and the new y - coordinate is \(-8 + 6=-2\). So \(J'(-4,-2)\).

Step3: Translate point K

For K(2, - 6), the new x - coordinate is \(2-4 = - 2\) and the new y - coordinate is \(-6 + 6=0\). So \(K'(-2,0)\).

Step4: Translate point L

For L(-2, - 8), the new x - coordinate is \(-2-4=-6\) and the new y - coordinate is \(-8 + 6=-2\). So \(L'(-6,-2)\).

Step5: Translate point M

For M(2, - 10), the new x - coordinate is \(2-4=-2\) and the new y - coordinate is \(-10 + 6=-4\). So \(M'(-2,-4)\).

Answer:

J': (-4,-2)
K': (-2,0)
L': (-6,-2)
M': (-2,-4)