Question

ii. for each problem, create an image using the given direction. (2 points each) 11 - 12. translate the shape 6 units right 13 - 14. reflect the shape across y - axis

Explanation:

Step1: Recall translation rule

For a right - hand translation of a point $(x,y)$ by $h$ units, the new point is $(x + h,y)$. Here $h = 6$.
Let the vertices of the first triangle be $(x_1,y_1),(x_2,y_2),(x_3,y_3)$. The new vertices after translation will be $(x_1 + 6,y_1),(x_2+6,y_2),(x_3 + 6,y_3)$.

Step2: Recall reflection rule

For a reflection of a point $(x,y)$ across the $y$-axis, the new point is $(-x,y)$. Let the vertices of the second triangle be $(x_4,y_4),(x_5,y_5),(x_6,y_6)$. The new vertices after reflection will be $(-x_4,y_4),(-x_5,y_5),(-x_6,y_6)$.

To actually draw the new shapes:

1. For the first triangle, take each vertex of the original triangle and move it 6 units to the right on the coordinate - grid and then connect the new vertices to form the translated triangle.
2. For the second triangle, take each vertex of the original triangle, change the sign of the $x$-coordinate while keeping the $y$-coordinate the same, and then connect the new vertices to form the reflected triangle.

Since this is a graphical problem and we can't actually draw in this text - based format, the steps above describe how to create the required images.

Answer:

Follow the steps above to draw the translated and reflected shapes on the given grids.