Question

graph the image of △abc after a translation 6 units up.

Explanation:

Step1: Recall translation rule

For a translation 6 units up, we add 6 to the y - coordinate of each point.

Step2: Identify original points

Assume \(A(x_1,y_1)\), \(B(x_2,y_2)\), \(C(x_3,y_3)\) from the graph.

Step3: Calculate new points

New \(A'(x_1,y_1 + 6)\), new \(B'(x_2,y_2+6)\), new \(C'(x_3,y_3 + 6)\).

Step4: Plot new points

Plot \(A'\), \(B'\), \(C'\) on the same coordinate - grid and connect them to form the new triangle.

Answer:

Plot the new triangle with vertices obtained by adding 6 to the y - coordinates of the vertices of \(\triangle ABC\).