Question

graph the image of \\( \triangle bcd \\) after a translation 6 units up.

Explanation:

Step1: Find the coordinates of points \(B\), \(C\), and \(D\)

From the graph, \(B(-1,-6)\), \(C(5,-6)\), \(D(-1,3)\)

Step2: Apply the translation rule

The translation rule for moving 6 units up is \((x,y)\to(x,y + 6)\)
For point \(B(-1,-6)\): \((-1,-6+6)=(-1,0)\)
For point \(C(5,-6)\): \((5,-6 + 6)=(5,0)\)
For point \(D(-1,3)\): \((-1,3+6)=(-1,9)\)

Step3: Plot the new points

Plot the points \((-1,0)\), \((5,0)\), and \((-1,9)\) on the coordinate plane and connect them to form the image of \(\triangle BCD\) after the translation.

Answer:

The new coordinates of the vertices of the translated triangle are \(B'(-1,0)\), \(C'(5,0)\), and \(D'(-1,9)\). Plot these points and connect them to graph the translated triangle.