Appearance of Different CurvesSlideshow 26, MathematicsMr. Richard Sasaki, Room 307ObjectivesSo farWe know the appearance of three graphs

increaseslowerThe line will curve in the opposite direction and remain in quadrants III and IV.

parabola

The parabola is always .symmetricalThe point at the bottom of a parabola is called the .minimumIt is also known as the .vertexThe plural of parabola is or .parabolaeparabolasParabolae can also curve in the other direction.

The point at the top of a parabola is called the .maximumIt is also known as the .vertexDrawing ParabolaePlotting at least 3 points minimum is necessary. The maximum / minimum and two points either side of this. Which points you choose is up to you.The problem is, if you just plot three points, the graph can still have different appearances. We should know how parabolae look and apply that.Drawing Parabolae

Is this good?This is better. The V shape is fine but the rate of change doesnt grow so steeply.Answers

Answers

AnswersWhy do the minima / maxima always touch the origin?Write down the name of a non-linear graph that does not go through the origin.