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 translation 6 units right, the rule for a point $(x,y)$ is $(x + 6,y)$.

Step2: Apply rule to each vertex

Let's assume the vertices of the first - triangle are $(x_1,y_1),(x_2,y_2),(x_3,y_3)$. After translation 6 units right, the new vertices will be $(x_1 + 6,y_1),(x_2+6,y_2),(x_3 + 6,y_3)$.
For reflection across the y - axis, the rule for a point $(x,y)$ is $(-x,y)$. Let the vertices of the second - triangle be $(a_1,b_1),(a_2,b_2),(a_3,b_3)$. After reflection across the y - axis, the new vertices will be $(-a_1,b_1),(-a_2,b_2),(-a_3,b_3)$.

Answer:

For the translation 6 units right: Calculate new x - coordinates by adding 6 to the original x - coordinates while keeping y - coordinates the same. For the reflection across the y - axis: Change the sign of the x - coordinates while keeping y - coordinates the same. (Since no specific vertex coordinates are given in the question, the general transformation rules are provided as the answer).