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Transformations Test

Transformations Test - Name Date Principles of Mathematics...

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Name :____________________ Date :____________________ Principles of Mathematics 12 – Transformations Test ( /33) Each multiple choice question is worth 1.5 marks. Clearly circle the best answer. No graphing calculators are permitted. 1. When compared to the graph of 2 x y = , the graph of ( 29 2 3 2 - + = x y has: a) vertical translation 3 units down, horizontal translation 2 units left b) vertical translation 2 units down, horizontal translation 3 units left c) vertical translation 2 units up, horizontal translation 3 units right d) vertical translation 2 units up, horizontal translation 3 units left 2. When y is replaced with y - , the graph is reflected over which line? a) the x–axis b) the y–axis c) the line y = x d) the line y = -x 3. How is the graph of ( 29 x f y 2 = related to the graph of ( 29 x f y = ? a) ( 29 x f y = has been compressed vertically by a factor of 1/2. b) ( 29 x f y = has been compressed horizontally by a factor of 1/2. c) ( 29 x f y = has been expanded vertically by a factor of 2. d) ( 29 x f y = has been expanded horizontally by a factor of 2. 4. If the point (m, n) is on the graph of ( 29 x f y = , what point is on the graph of ( 29 x f y 1 - = ? a) (m, n) b) (-m, -n) c) (-n, -m) d) (n, m) /6 5. The function 2 9 x y - = is expanded vertically by a factor of 2, reflected about the y – axis, and translated 3 units downward. The transformed function would be
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a) 3 9 2 2 - - = x y b) 3 9 2 2 + - = x y c) 3 9 2 2 + + = x y d) 3 9 2 2 - + = x y 6. If (m, n) is a point on the graph of ( 29 x f y = , determine a point on the graph of ( 29 d bx af y - = .
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