FunctionTransformationsAssignment2+

FunctionTransformationsAssignment2+ - Function...

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Unformatted text preview: Function Transformations Assignment 2 Name: Date: My Achievement Goal for this chapter is… (Circle one) A+ A B C D (Teacher Use Only) This assignment is: Good to Go! Needs Corrections Make sure that you show all of your work! 1. Parabolic arches are often used when building bridges. An architect has been commissioned to building a new bridge that will involve two different parabolic arches. The first arch can be modelled by the function , with a range of The second arch must span 3 times the distance, be translated 26 units to the right and 1 unit up. a) Sketch the graph of both arches. Function Transformations Assignment 2 b) Determine the equation of the second arch. 2. Graph the following functions and state the domain and range: (Hint: If you’re not sure… make a table of values! J) a. Function Transformations Assignment 2 b. c. Function Transformations Assignment 2 3. Below is the graph of , on the same set of axes, sketch the graph of . Function Transformations Assignment 2 4. Write equations for the following word statements. a) The graph of is expanded horizontally by a factor of 4, reflected in the y-­‐axis, translated 3 units to the left and translated 5 units upwards. Determine the equation of the transformed function b) The graph of is translated to the right 4 units, reflected in the y-­‐axis, compressed vertically by a factor of ½ and translated 3 units down. Determine the equation of the transformed function c) The graph of is translated up 4 units, expanded vertically by a factor of 3, compressed horizontally by a factor of ½ and the absolute value of the function is taken. Determine the equation of the transformed function Function Transformations Assignment 2 5. The point is on the graph of transformation of the graph of a) What is its image point under each b) c) d) e) ...
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