level: TRANSFORMATION OF GRAPHS
Questions and Answers List
level questions: TRANSFORMATION OF GRAPHS
| Question | Answer |
|---|---|
| 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 AXIS | y ---> -y |
| if x ---> ax (a>0) | DIVIE ALL THE VALUES ON X AXIA BY a |
| DIVIDE ALL THE VALUES ON y AXIS BY a if | y---> 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)| |