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level: TRANSFORMATION OF GRAPHS

Questions and Answers List

level questions: TRANSFORMATION OF GRAPHS

QuestionAnswer
if x --> (x-a) then shift the graph // to .. axis by |a| units 1) towards right if a is... 2) towards left if a is ...y positive negative
if y --> (y-a) then shift the graph // to .. axis by |a| units 1) if a is positive, then ... 2) if a is negative, then ...x axis upward downward
x ---> (-x)TAKE MIRROR IMAGE OF WHOLE GRAPH WRT Y AXIS
IF ... then TAKE MIRROR IMAGE OF WHOLE GRAPH WRT X AXISy ---> -y
if x ---> ax (a>0)DIVIE ALL THE VALUES ON X AXIA BY a
DIVIDE ALL THE VALUES ON y AXIS BY a ify---> ay (y>0)
x ---> |x| then,*REMOVE THE PORTION OF GRAPH WHICH LIES ON THE LHS OF Y AXIS *TAKE REMAINING GRAPH AND ITS IMAGE WRT Y AXIS
y= f(x) when f(x) ---> |f(x)|i.e. y = |y| THE PORTION OF GRAPH BELOW X AXIS GOES ABOVE X AXIS
MULTIPLE TRANSFORMATIONS* APPLY OUT TO IN * FIRST transformations on X and then on Y *if |f(x)| is present, |f(x)|