transformation of graphs 2

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2 Jul 2007 11:47:57 IST

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2 Jul 2007 11:47:57 IST

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transformation of graphs 2

Mathematics , Analytical Geomerty , Vectors , , academic

Case 4

To draw the graph of form y = | f(x) | (graph 4)

Draw the graph of y = f(x) (in yellow) then restore that part of the curve, which is above x-axis. Take the reflection of the part of the curve which is below x-axis (in yellow) wrt to x-axis. Then erase the part which is below x-axis... The restored part along with the reflection will be the required curve (in red dotted)

Case 5

To draw the graph of form y = f(|x|) (graph 5)

Draw the graph of y = f(x) (in yellow) and then erase the part which is to the left of y-axis. Take the reflection to the part of the curve lying to the right of y-axis assuming y-axis as mirror. The part of the curve, which is at the right of y-axis along with its reflection, is the required curve (in red dotted)

Case 6

To draw the graph of form y = f(- x) (graph 6)

Draw y = f(x) (in yellow)..and then take the total reflection of this graph wrt y-axis (in red)

Case 7

To draw the graph of form y = - f(x) (graph 7)

Draw y = f(x) (in yellow)..and then take the total reflection of this graph wrt x-axis (in red)

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Comments (5)

SINDHURA KADIYALA

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Joined: 23 Apr 2007 18:54:45 IST

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2 Jul 2007 14:09:47 IST

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its great........

Manasi

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Joined: 1 Dec 2006 11:13:27 IST

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3 Jul 2007 10:20:11 IST

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

joy francis

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Joined: 19 Feb 2007 20:50:19 IST

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3 Jul 2007 13:15:43 IST

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thanks, this would quiet a help at the time of revision.

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Joined: 27 Oct 2006 20:01:36 IST

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5 Jul 2007 23:50:57 IST

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Hi, you've done pretty impressive work!
AC (Forum expert, IIT Delhi alumnus).

Manasi

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Joined: 1 Dec 2006 11:13:27 IST

Posts: 2108

6 Jul 2007 12:48:09 IST

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thank u sir!

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