1. The function /(*) = (4X-8) is the image of 8(*) => after a set of transformations have occurred. Which of the following best describes the transformations that occurred to g( x)? O The function g(x) was compressed horizontally by a factor of four then translated right eight units. The function g(x) was compressed horizontally by a factor of four then translated left eight units. The function g(x) was compressed horizontally by a factor of four then translated left two units. The function g(x)was compressed horizontally by a factor of four then translated right two units. Q 2. Let f(x) =* and 8(*) =x -2 What is the value of f g(3) ? Round to the nearest hundredth if necessary. O 25 O 2.92 O 1 O 1.91Q 3. The function g(x) = sin(x) is transformed into the function /(*) by stretching horizontally by a factor of about the y-axis, stretching vertically by a factor of about the x-axis, and translating up 5 units. Which of the following is the equation for /(x)? Oh(x ) = WIN sin x +5 Oh(x) = - sin =(x-5) O hix) = - sin =x +5 On(x) = sin !(x-5)4. Describe a series of transformations that would transform A(x) = (x| + 5 into g(x) 2/x1 - 1 1 Be sure to clearly communicate your reasoning using mathematical academic vocabulary.\f1 '_J 6. The graph ofy zx) is reflected across the yaxis then translated two units to the left. Which equation shows the transformed function ha)? 0 h(x) zx + 2) 0 he) = x 2) O h(x) = f(x + 2) 0 he) zx 2) 7. Antonio is working with the following functions. Which composition will result in the function y = x? 1. Ax) = 7x-1 ll. g(x) =-7x-1 Ill. h(x) = 1-1 7.x IV. m(x)= *+1 7 O g(h(x) ) Om( Ax) ) O g(m(x) ) Of8(x) )