answer the following questions

W Q 4. Let A(x) =1 and (*) =* - What is the value of g( f(-5) ? Round to the nearest hundredth if necessary. O -0.88 O 0.04 O -0.94 O 0.13 W D 5. Describe a series of transformations that would transform f(x) = |x| + 5 into g(x) = -2|x| -1 Be sure to clearly communicate your reasoning using mathematical academic vocabulary. B i U Font Family AVA DE E E .GD 3 6. Antonio is working with the following functions. Which composition will result in the function y = x? I. x):7x1 II. g(x):7x1 III hm : %71 IV 771(1):? Q 2. The graph of y = f(x) is reflected across the y-axis then translated three units to the right. Which equation shows the transformed function /(x)? O h(x) =A(-x+3) O h(x) = -f(x-3) O h(x) = f(-x-3) O h(x) =-Ax+ 3) 3 3. Find two possible non-linear functions g and / such that go h = - 1 - VX B i U Font Family 0000 3 3 D 7. The function gx) = (2x + 6) is the image of 30:) = x after a set of transformations have occurred The function g(x) was compressed horizontally by a factor of two then translated left three units. The function gx) was compressed horizontally by a factor of two then translated left six units. The function gfx) was compressed horizontally by a factor of two then translated right six units. The function g(x) was compressed horizontally by a factor of two then translated right three units. . Which of the following best describes the transformations that occurred to gx)? about the x-axis, and translating W Q 1. 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 down four units. Which of the following is the equation for /(x)? O h( x ) = _sin x - O h(x) = > sin _x-4 On(x)= 3 sin[ 4(x+ 4) ] O h(x) =_sin 5 (x+4)