What is the vertex of the parabola given by the function π¦ = 2π₯^2 - 4π₯ + 3?
+
What is the value of sin(60Β°) + cos(45Β°) - tan(30Β°) * cot(45Β°) in the interval [0, 2Ο]?
+
What key features determine the shape and orientation of an ellipse? Explain how to find the equation of an ellipse given its foci, vertices, and eccentricity.