Transformation of Graphs-II

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Transformation of Graph-I (click here)

5. f(x) \to f(x + a),a > 0

 Shift the graph at 'a' distance left to the origin.
(As value at x on the graph f(x) becomes the value at (x - a) on the graph f(x + a)
e.g. when x = 0, f(x) = 0 , and x = -a , f(x + a) = f(-a + a) = f(0) = 0 )









6. f(x) \to f(x - a),a > 0

 Shift the graph at 'a' distance right to the origin





7. f(x) \to f(x) + a,a > 0

 Shift the graph at 'a' distance up to the origin.
( As value of function at every point increases 'a' unit )





8. f(x) \to f(x) - a,a > 0

 Shift the graph at 'a' distance below to the origin.
(As value of function at every point decreases 'a' unit)


9. f(x) \to f(ax)

 The Graphical Pattern of f(x) and f(ax) will always be same but when a > 1 then their is contraction in the values of 'x' and no change in values of 'y'. And when 0 < a < 1 then their is expansion in the values of 'x' and no change in the values of 'y'.





10. f(x) \to af(x)

 The Graphical Pattern of f(x) and af(x) will always be same but when a > 1 then their is expansion in the values of 'y' and no change in values of 'x'. And when 0 < a < 1 then their is contraction in the values of 'y' and no change in the values of 'x'.


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