Subject
Mathematics study guides
Algebra, geometry, and proofs — solved step by step with interactive graphs and figures.
2 explained questions, each with the answer, a worked explanation, and something interactive to help it stick.
- Which graph shows a set of ordered pairs that represents a function?The graph where every input (x-value) maps to exactly one output (y-value) — so no x-value repeats and no vertical line touches more than one point. If any x appears twice with different y-values, it is NOT a function.Read the guide
- Which graph shows the axis of symmetry for the function f(x) = (x − 2)² + 1?The graph with a vertical line at x = 2. In vertex form f(x) = a(x − h)² + k, the axis of symmetry is x = h. Here h = 2, so the axis is the vertical line x = 2, which passes straight through the vertex (2, 1).Read the guide