1. Is the following graph a function?

51. Which equation matches the given graph? Toggle bookmark O V= X O V=x O O 1=XW Q1. How is the graph y = + 4 related to y = =? x+1 X I. Translation four units down Il. Translation four units up Ill. Translation one unit right IV. Translation one unit left O I and Ill O ll and IV O Il and Ill O I and IVQ 2. The function /() = VX -1 is transformed by a translation five units down. The transformed function passes through the point (9,y). What is the value of y? O -4 O 2 O - 2 O - 33. The graph of g(x) = 2/x + c| + d is the image of A(x) = 2|x| after being translated three units left and six units down. What is the value of c + d? 0 9 O 3 O -9 O - 3Q 4. The graph of g(x) = x2 + d is the image of f(x) = x2 after a single transformation. What is the value of d? 2Q5. The point (4,7) lies on the graph of (x). State the coordinates of the image of this point under the transformation y- 2 =A(x + 1) O (5, 5) O (3, 5) O (5, 9) O (3, 9)6. The function (x) has been transformed into the function g(x) shown below: g(xx) Which of the following defines g(x) in terms of /(x)? O 8 ( x) = Ax+ 2) -4 O g(x) = Ax-2)-4 O g(x) =Ax-4) -2 O g(x) =Ax+4) -2Q7. What translation would have to be applied to )' = 2 so that the function has a range of y > -3? O Translate four units down O Translate three units left O Translate three units down O Translate four units left1. The function g (x) = sin(x) is transformed into the function /(*) by stretching vertically by a factor of WIN about the x-axis, stretching horizontally by a factor of about the y-axis, and translating up 4 units. Which of the following is the equation for h (x ) ? O h(x) = =sin _x+4 O h (x ) = - sin =x +4 O h(x) = =sin 4 (x-4) ] O h(x) =1 sin 3 (x -4)2. Describe a series of transformations that would transform fix) = (x| + 5 into g(x) = -2 x -1 Be sure to clearly communicate your reasoning using mathematical academic vocabulary.Q 3. Let /(x) = * and 8(x) = x -2 What is the value of g( f(3) ? Round to the nearest hundredth if necessary. O 2.92 O 1.91 O 25 O 14. Antonio is working with the following functions. Which composition will result in the function y = x? 1. Ax) = (x-4)' -1 11. 8(x) =1+Vx+4 Ill. h(x) = (x-1)' -4 IV. m(x) =1- Wx+4 O g( h(x) ) O g(m(x) ) Of8(x) ) O m( A(x) )5. 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 h(x)? O h( x) = -A(x+3) O h(x) = A(-x+3) O h(x) =A(-x-3) O h(x) = -f(x-3)6. Find two possible non-linear functions g and / such that go = ~sinx -xW Q 7. The function /(x) = V3x -9 is the image of 8(x) = ~x 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 three then translated left three units. The function g (x) was compressed horizontally by a factor of three then translated right nine units. The function g(x) was compressed horizontally by a factor of three then translated left nine units. The function g(x) was compressed horizontally by a factor of three then translated right three units.20 -20 20 -20O -20 20 -20 O -20 20 O 20 OQ 2. Consider the graph below of the function fix): 5 10 Using the graph, what is the value of f(2) Of- 1 ( 2 ) = 8 Of- 1(2) = 1.3 O Cannot be determined. Of-1(2) = 163. A military drone travels according to the formula d() - 451, where d is the distance traveled in miles and t is the time in hours. What is the meaning of "(585)? It takes the drone 585 hours to travel 13 miles. It takes the drone 13 hours to travel 585 miles. miles. O A military drone travels at an average speed of 45 miles per hour. O A military drone travels at an average speed of 585 miles per hour.Q4. Is the function /(*) => invertible? If so, find the inverse. (x) O 5 ( x ) O f(x) is not invertible. Of ( x) = 4x Of ( x) = NxQ 5. Determine whether the given functions f(x) and g(x) are inverses of one another. Justify your response. Ax) = x+2 3 and 8(x) = /3x+ 2