The figure shows the graph of ( y = f(x) ).
(Sketch: a parabola with vertex at ((0,0)) passing through ((1,1)) and ((-1,1)).)
Write the equations of the following transformed graphs:
(a) Shift up by 3 units.
(b) Shift right by 2 units.
(c) Shift left by 1 unit and down by 4 units. transformation of graph dse exercise
DSE often asks: Given the image graph, find the pre-image function.
Question 3:
The graph of ( y = f(x) ) is translated 3 units right and then reflected in the y-axis to become ( y = \sqrt4 - x^2 ). Find ( f(x) ). The figure shows the graph of ( y = f(x) )
Step-by-step reasoning:
Let transformations be applied to ( f(x) ):
Thus ( f(x) = \sqrt4 - (x+3)^2 ).
If ( f(x) = \sqrtx ), find equation after reflecting in y-axis then shifting right 2 units.
Solution: