Transformations Test

# F 1 x x 3 b f 1 x 1 10 if the range

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Unformatted text preview: y ≤ 3 d) a) − ≤ y ≤ 11. If (-4, 12) is a point on the graph of y = f ( x ) , what must be a point on 1 2 the graph of y = − f (1 − x ) + 3 ? a) b) c) d) (5, -3) (5, 27) (3, -3) (3, 27) 12. How is the graph of y = f ( 2 x ) related to the graph of y = f ( x ) ? a) y = f ( x ) has been compressed vertically by a factor of ½ b) y = f ( x ) has been compressed horizontally by a factor of ½ c) y = f ( x ) has been expanded vertically by a factor of 2 d) y = f ( x ) has been expanded horizontally by a factor of 2 /6 Open Ended Section 1. Given the graph of y = f ( x ) , graph each of the following: 8 6 4 2 -8 -6 -4 2 -2 4 6 8 -2 -4 -6 -8 a) y = f ( x + 2) − 3 (1 mark) b) y = f ( − 2 x ) (1 mark) 8 6 -4 4 2 -6 6 4 -8 8 2 2 -2 6 4 8 -8 -6 -4 2 -2 -2 -4 -6 -6 -8 -8 8 8 6 6 4 4 2 1 c) y = − f ( − 2 x + 4) + 1 (3 marks) 2 -8 -6 -4 8 -2 -4 6 4 2 -2 4 6 8 /2 2 d) y = f ( x ) (1 mark) -8 -6 -4 2 -2 -2 -2 -4 -4 -6 -6 -8 -8 4 6 8 e) y = 1 f ( x) + 1 2 f) y = f −1 ( x ) (1 mark) (2 marks) 8 6 -4 4 2 -6 6 4 -8 8 2 2 -2 6 4 -8 8 -6 -4 2 -2 -2 -4 -6 -6 -8 6 -2 -4 4 -8 8 6 4 1 /7 2 g) y = f ( x ) (3 marks) -8 -6 -4 2 -2 -2 -4 -6 -8 4 6 8 8 1 (2 marks) f ( x) h) y = −2 8 6 4 2 -8 -6 -4 2 -2 4 6 8 -2 -4 -6 -8 /6...
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