Mathematics Higher Level Robert Joinson

©Sumbooks 2002Higher Level48. Transformations of Graphs1. Diagram ‘a’ below shows a sketch of the graph y = x 2 . The other graphs show(i) y = x 2 + 1 , (ii) y = x 2 – 1 , (iii) y = ( x – 1) 2 , (iv) y = ( 2x) 2 , and (v) y = ( x + 2) 2but not in that order. Match the diagram to the equation.a) y b) y c)yx x xd) y e) y f) yxx2. Explain clearly each of the transformations in question 1.3. The diagram on the right shows the graph of thefunction f( x) = 2x 3 + 3x 2 .a) If this graph is reflected in the x axis what will itsequation be?b) Sketch the graph.c) If f(x) is transformed into f(–x) write down itsequation and explain the transformation.4. The function f(x) is defined for 0 < x < 3 in the diagrambelow. Sketch the functionsa) y = f( x – 2)and b) y = f( 2x)y3-1f(x)10xx2101 2 3x