Question
Fri April 22, 2011 By:

can i know the properties of garphs of linear,cubic,quadratic/

Expert Reply
Fri April 22, 2011
1/ y=k (constant)
Let  take the equation y =0x+4. This simplifies to y = 4 and so the function has the value 4 for all values of y. It is therefore a straight horizontal line through 4 on the y axis.
2/ Linear equation y=kx
Let take the  equation y =5x.  This is a simple linear equation and so is a straight line whose slope is 5. That is, y increases by 5 every time x increases by one. Since the slope is positive, the line slopes up and to the right. 
3/ the equation of y = Kx+a. as a is the constant so, the value of y is shifted and changes along wid changing in x.
4/ Quadratic equation y=kx2
Equations of this form and are in the shape of a parabola.
5/ If k is positive, it goes upwards on each side of the vertex.
6/ If k is negative it slopes downwards each side of the vertex.
7/ If kgets larger the parabola gets steeper and 'narrower'.
8/ Cubic equation y=kx3
Equations of this form and are in the cubic "s" shape, and since k is positive, it goes up and to the right. As k gets larger the curve gets steeper and 'narrower'. When k is negative it slopes downwards to the right.
9/ If k is positive, it goes up and to the right.
10/ If k is negative it slopes downwards to the right.
11/ As k gets larger the curve gets steeper and 'narrower'.
 
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