Appearance of Different Curves Slideshow 26, Mathematics Mr. Richard Sasaki, Room 307.

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Presentation transcript:

Appearance of Different Curves Slideshow 26, Mathematics Mr. Richard Sasaki, Room 307

Objectives

So far… We know the appearance of three graphs…

increases lower The line will curve in the opposite direction and remain in quadrants III and IV.

parabola The parabola is always. symmetrical The point at the bottom of a parabola is called the. minimum It is also known as the. vertex

The plural of parabola is or. parabolae parabolas Parabolae can also curve in the other direction. The point at the top of a parabola is called the. maximum It is also known as the. vertex

Drawing Parabolae Plotting 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 doesn’t grow so steeply.

Answers

Answers

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