All formulas needed to solve questions below are in the picture above. When solving exam review of transformations functions make sure to show all steps clearly please. And please write on paper. Thanks

EXAM REVIEW: Transformations of Functions Domain / Range Amplitude, Period, Phase Shift, Vertical Translation, Reflection (Vertical and Horizontal) ? = af[k(x-d)]+c .. . Graphing Trigonometric Functions ( =asinb(x-d)+c , y =acosb(x-d)+c Function Notation Inverse Function y 1 or f-1(x) Explanation of a transformation / Write an equation under given transformation Stretches, compressions, reflections, translations 1. State the domain, range, period, amplitude, vertical translation and phase shift of each of the following: a ) y =- COS 2x b ) y = -3sin~ x d) > = 2sin[2(0 +90)]+4 c) y = 3sinx -1 2. Sketch two cycles of each function in #1. 3. Describe how the graph of each of the following functions can be obtained from the graph y =f(x) a) y =-5f (x) +3 b) y=f (x+3)-4 c ) y = 41 5x +2 d) y=f(7(x-5))+1 e) y =-f(8(x+7)) y= 21 (-2x -6) -9 4. Write the transformed equation if "undergoes the following transformation: It is reflected across the y-axis, stretched vertically by a factor of 3, compressed horizontally by a factor of 1%, shifted 3 units down and translated 3 units to the left. 5. If f(x) =2x3 -5x+1, find: a ) b) _ f(3) c) f ( x - 3 ) d) x when f ( x) =0 6. State the domain and range of each of the following: a) y = -v3-4x +6 b) y =2(x+3)? -5 -3 c) 7x +5 - 4 7. Given (x) =-3x +8 ,determine: f (4) b) x when f (x) =14 c) f(6) d) x when f ( x ) =f-(x) 8. Determine the inverse of each of the following functions: 5 a) f(x) =4x+3 g(x) = \\4x +8 c) h(x) =2x2 +12x -14 k(x ) =4-7 X+5