Quiz: Writing Rational Functions (Transformations Included)

Construct an instructional analytic-geometry diagram for practicing rational-function transformations. Start by selecting two points that depend on a horizontal parameter and place them vertically symmetric about a baseline, then define a reference line passing through the corresponding points. Create direction vectors from the main base point toward another key point to encode the transformation directions. Use these points and vectors to form a polygonal region together with key segments that illustrate both the original and transformed relationships. Choose a random integer parameter from a specified small set, and also pick two random real values to represent the horizontal and vertical transformation quantities. Finally, add a text input box and several short feedback messages near the diagram to indicate whether the horizontal shift, vertical stretch, and vertical shift match the intended targets.