Δ Point & Graph Translation
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Unit 4 · Coordinate Geometry Workbook

Translation of Points & Graphs

One hundred questions, five subtopics, ten levels of difficulty. Start easy, finish hard, and finally understand why shifting a graph right means writing (x − p) instead of (x + p).

100 Questions
5 Units
10 Levels
~50 min Recommended time
MC Multiple Choice (4 options)
Name Date Score ___ / 100

Why the sign flips

Sliding the whole graph of y = f(x) to the right by p means every point now needs a smaller input to reach the same height — so we substitute (x − p), not (x + p). Vertical shifts don't have this problem: adding q outside the function moves the output directly, in the same direction as the sign. Watch for this pattern across every question below.

Point Shift Find the Vector Why the Sign Flips Linear Graph Shift Quadratic Vertex Shift

Answer Key

Correct letter for each of the 100 questions.