Question

triangle qrs is located on the coordinate plane, where vertex q is located at the point (a, b). the triangle is reflected across the x - axis and then translated 2 units to the right to create triangle tuv. create an expression for the x - coordinate of t.

Explanation:

Step1: Analyze reflection effect on x - coordinate

Reflection across the x - axis does not change the x - coordinate of a point. So the x - coordinate of the image of Q after reflection across the x - axis is still \(a\).

Step2: Analyze translation effect on x - coordinate

Translation 2 units to the right adds 2 to the x - coordinate. So the x - coordinate of \(T\) (the image of \(Q\)) is \(a + 2\).

Answer:

\(a+2\)