Graph the image of Q(-8, -4) after a translation 2 units right.
Understand the Problem
The question asks for the graph of the point Q(-8, -4) after applying a translation of 2 units to the right. This involves adding 2 to the x-coordinate while keeping the y-coordinate the same.
Answer
The new point after translation is $Q'(-6, -4)$.
Answer for screen readers
The new coordinates after translation are $Q'(-6, -4)$.
Steps to Solve
-
Identify the original coordinates The original point is $Q(-8, -4)$.
-
Apply the translation To translate the point 2 units to the right, we add 2 to the x-coordinate: [ x_{new} = -8 + 2 = -6 ] The y-coordinate remains unchanged, so $y_{new} = -4$.
-
Write the new coordinates The new coordinates after translation are $Q'(-6, -4)$.
-
Graph the new point Plot the new point $Q'(-6, -4)$ on the graph.
The new coordinates after translation are $Q'(-6, -4)$.
More Information
When translating a point, only the x-coordinate changes for a horizontal translation. In this case, moving right means increasing the x-coordinate.
Tips
- Forgetting to only change the x-coordinate during a horizontal translation.
- Miscalculating the new x-coordinate by not correctly adding the translation value.
AI-generated content may contain errors. Please verify critical information
