SHIFTING CURVES

SHIFTING OF CURVE

The graph of the curve is  normally shifting of curve is adding a constant value to a standard curves like  y=x, y=X²,y=sin(x) etc..

Lets take a function f(x)=y and the constant be some ‘k’.

1.   If we add k to ‘x’ i.e y=f(x+k),then the curve will be shifted k units towards left.

2.   If we subtract k to ‘x’ i.e y=f(x-k),then the curve will be shifted k units towards right.

3.   If we add k to ‘y’ i.e (y+k)=f(x),then the curve will be shifted k units towards down.

4.   If we subtract k to ‘y’ i.e (y-k)=f(x),then the curve will be shifted k units towards up.

For example lets take a curve y=|x|

The graph of the curve is

For the 1^st one i.e f(x+k) 

For the 2^nd one i.e f(x-k)

 For the 3^rd one i.e (y+k)=f(x) 

 For the 4^th one i.e (y-k)=f(x) 

Same thing can be done for shifting of any curve.