What is the geometrical significance of a in y=ax^3
Favorites|Homepage
Subscriptions | sitemap
HOME > Mathematics > What is the geometrical significance of a in y=ax^3

What is the geometrical significance of a in y=ax^3

[From: ] [author: ] [Date: 11-09-24] [Hit: ]
that is, start from the bottom left corner and go to the top right corner.The larger the absolute value of a is (so greater if positive, or lesser if negative), the steeper the graph is. If a = 1000,......
May you also comment on the sign of a and the size of a.
thanks

-
If a > 0, then y = ax^3 will make the cubic go "uphill", that is, start from the bottom left corner and go to the top right corner. If a < 0, then it starts from the top left and goes down to the bottom right, i.e. "downhill". If a = 0, then the graph simplifies to y = 0, which is a flat, straight line, and not a cubic at all.

The larger the absolute value of a is (so greater if positive, or lesser if negative), the steeper the graph is. If a = 1000, or say, -1000, then graph would be extremely steep. If a = 0.001 or -0.001, the graph would be extremely shallow, but still tend to infinity at a slower rate. The more a approaches 0, the flatter it will get, until it reaches 0, at which point it becomes the completely flat y = 0 line.

-
What the hell is this
1
keywords: of,is,ax,significance,in,What,geometrical,the,What is the geometrical significance of a in y=ax^3
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .