Transformation of Graphs 1

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2 Jul 2007 11:08:03 IST

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2 Jul 2007 11:08:03 IST

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Transformation of Graphs 1

Mathematics , Differential Calculus

Functions are usually expressed by formulae. But the techniques of graphical representation of function are of immense value in mathematics.. Moreover, various areas of mathematics are rendered easy if solved thru using there graphs... if u r knowing the graph of y = f(x).. Then here are few techniques to draw some graphs -

Case 1

To draw the graph of form y = a+ f(x) (graph 1)

Draw the graph of y = f(x) (in yellow) and then shift the graph 'a'unit above if a>0(in red), or shift it 'a' unit below if a < 0 (in red)

Case 2

To draw the graph of form y = f(x+a) (graph 2)

Draw the graph of y = f(x) and then shift the graph 'a' unit towards the right of y-axis if a>0 (in purple), or shift it 'a' unit towards left of y-axis if a < 0 (in red)

Case 3

To draw the graph of form y = af(x) (graph 3 )

This graph is similar to the shape of y= f(x)... but the size gets hanged, i.e. y gets changed while x is constant!

here shown with a particular example of y =a sin x ...with the help of graph of y = sin x.. where a has values 1 [graph of y = sin x(in yellow)], 2 [graph of y = 2 sin x(in red)], and 3 [ graph of y = 3sin x (in purple)],

scale :

x-axis : pi/2

y-axis : 1

PS: pls click on the figures to enlarge it...

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Comments (7)

SINDHURA KADIYALA

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Joined: 23 Apr 2007 18:54:45 IST

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2 Jul 2007 14:11:28 IST

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great job........

Manasi

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Joined: 1 Dec 2006 11:13:27 IST

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3 Jul 2007 10:16:17 IST

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i guess no one has to comment anything on this... no probs... just make the best possible use of it!!

v_gurucharan

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3 Jul 2007 23:25:50 IST

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GR8888888888888888888888

v_gurucharan

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5 Sep 2007 05:45:44 IST

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GR8888888888888888888888

PRAKHAR MITTAL

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Joined: 11 Dec 2006 20:24:09 IST

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5 Sep 2007 16:27:06 IST

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very gud work yaar

Swashata Ghosh

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5 Sep 2007 18:27:45 IST

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Its really nice keep it up!!!!!!!!!!!!

Swashata Ghosh

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Joined: 20 May 2007 20:03:31 IST

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5 Sep 2007 18:29:22 IST

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And one more thing which i forget to mention
THANK YOU SIR

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