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 across x - axis

Reflection across the x - axis does not change the x - coordinate of a point. The x - coordinate of point Q is \(a\), and after reflection across the x - axis, the x - coordinate of the corresponding point in the new triangle (before translation) is still \(a\).

Step2: Analyze translation 2 units to the right

Translation to the right adds to the x - coordinate. If the x - coordinate before translation is \(a\), after translating 2 units to the right, the x - coordinate of point T is \(a + 2\).

Answer:

\(a+2\)