Determining the coordinates of the vertex of a parabola.
A word problem involving motion or work that leads to a rational equation. Determining the coordinates of the vertex of a parabola
Based on the standard Russian educational curriculum (e.g., Makarychev, Mordkovich), the first semester typically focuses on: Review of basic functions ( intervals of monotonicity (increasing/decreasing)
Finding the domain of a function involving a square root or a denominator. its graph (parabola)
Properties of functions: domain, range, zeros, intervals of monotonicity (increasing/decreasing), and intervals of constant sign. The function , its graph (parabola), and properties. Graph transformations (translations along axes). Equations and Inequalities: Quadratic inequalities and the method of intervals. Rational equations and inequalities.
Preparing students for the structure and rigor of the final state examinations (OGE). 2. Key Topics Covered