3 3 1. Let and What is the value of ; (3'13) ]? Round to the nearest hundredth if necessary. '2. Describe a series of transformations that would transtcrm into ; (x) 2 7% + 2 Be sure to clearly communicate your reasoning using mathematical academic vocabulary. 3. The function x) : "J 3x _ 9 s the image of after a set of transformations have occurred. Which of the following best describes the transformations that occurred to a? O The function was compressed horizontally by a factor of three then translated left nine units' 0 The function ; (x) was compressed horizontally by a factor of three then translated left three units. 0 The function was compressed horizontally by a factor of three then translated right nine units. 0 The function ; (x) was compressed horizontally by a factor of three then translated right three units. 4. Antonio is working with the following functions. Which composition will result in the function y = X? 1. f(x) = -x + 4 ll. g(x) = x + 6 Ill. h(x) = - 6 2 IV. m(x) = C- 4 3 Om( Ax) ) Ogm(x) Ong(x) Ogh(x)5. The function _' (x) : Sinx) is transformed into the function (x) by stretching vertically by a factor of % about the xaxis, stretching horizontally by a factor of % about the y- axis. and translating up 4 units Which of the following is the equation for a? O (zisin 4 6. Find two possible non-linear functions $ and / such that g 0 / = x 2 - 27. The graph of y =f(x) is reflected across the y-axis then translated two units to the left. Which equation shows the transformed function ?( x)? Oh(x) =f(-x-2) Oh(x) = -A(x -2) Oh(x) =f(-x+2) Oh(x) = -A(x+ 2)