Triangle ABC is shown on the coordinate grid.

Question

Explanation: The figure shows a triangle Upper Word ABC on the coordinate grid. The values on the x-axis range from negative 8 to 8 in increments of 2 and the values on the y-axis range from negative 8 to 8 in increments of 2. The coordinates of the vertices Upper A, Upper B, and Upper C are labeled as (negative 4, 1), (negative 1, 1), and (negative 1, 4) respectively.

Part A
Translate ΔABC 6 units horizontally. How are the values in the ordered pairs affected by the translation?

Part B
Translate ΔABC −3 units vertically. How are the values in the ordered pairs affected by the translation?

Part C
​How could you determine the coordinates of the vertices of a translated image without using a graph?

Please help, i'm confused.

Answer 1

Geesh, why not just type:
Given: Triangle ABC with vertices A(-4,1), B(-1,1) and C(-1,4)

Part A
Translate ΔABC 6 units horizontally:
the x value of each point would increase by 6, the y's would stay the same
e.g. A(-1,4) -----> A'(5,4)
etc

Part B
You do it in the same way

Part C, I just did it without a graph.

Answer 2

Thank you this helps me a lot.