11. [-IO.23 Points] DETAILS SPRECALC7 2.6.022. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Explain how the graph ofg is obtained from the graph of f. (a) M = . 900 = \\/ + 6 O reflect about the x-axis, then shift up 6 units 0 reflect about the yaxis, then shift down 6 units 0 reflect about the y-axis, then shift up 6 units 0 reflect about the x-axis, then shift down 6 units 0 shift up 6 units, then reflect about the Xaxis (b) rm = J}. g(x) = \\/_x + s 0 reflect about the x-axis, then shift up 6 units 0 reflect about the xaxis, then shift down 6 units 0 reflect about the y-axis, then shift up 6 units 0 reflect about the y-axis, then shift down 6 units 0 shift down 6 units, then reflect about the y-axis Need Help? @ 5. [-l0.23 Points] DETAILS SPRECALC7 2.6.008. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Suppose the graph of fis given. Describe how the graph of each function can be obtained from the graph of f. (a) f(x + 1) 0 shift left 1 unit 0 shift right 1 unit 0 shift up 1 unit 0 shift clown 1 unit 0 stretch vertically by a factor of 1 (b) f(x) + 2 0 shift left 2 units 0 shift right 2 units 0 shift up 2 units 0 shift down 2 units 0 stretch vertically by a factor of 2 Need Help? 6. [IO.23 Points] DETAILS SPRECALC7 2.6.502.XP. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Suppose the graph of fis given. Describe how the graph of each function can be obtained from the graph of f. (a) y = -7f(X) 0 shift clown 7 units 0 shrink by a factor of 7, then reflect about the yaxis 0 Stretch by a factor of 7, then reflect about the y-axis O stretch by a factor of 7, then reflect about the x-axis O shrink by a factor of 7, then reflect about the Xaxis (b) y = %f(X) O stretch by a factor of 7; then reflect about the y-axis r 0 Stretch by a factor of 71 then reflect about the X-axis I O shrink by a factor of %, then reflect about the X'aXlS O shrink by a factor of 7; then reflect about the y'axis I 0 shift down % units Need Help? _'_' 1. [-l0.23 Points] DETAILS SPRECALC7 2.6.001. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Fill in the blank with the appropriate direction (left, right, up, or down). (a) The graph of y = f(x) + 6 is obtained from the graph of y = f(x) by shifting --Select 3 6 units. (b) The graph of y = f(X + 6) is obtained from the graph of y = f(X) by shifting Seiect-- " 6 units. Need Help? _ 2. [-l0.23 Points] DETAILS SPRECALC7 2.6.002. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Fill in the blank with the appropriate direction (left, right, up, or down). (a) The graph of y = f(x) 5 is obtained from the graph of y = f(x) by shifting ---Select--- 0 5 units. (b) The graph of y = f(x 5) is obtained from the graph of y = f(x) by shifting Select 0 5 units. Need Help? _ 3. [-l0.23 Points] DETAILS SPRECALC7 2.6.003. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Fill in the blank with the appropriate axis (Xaxis or yaxis). (a) The graph of y = f(x) is obtained from the graph of y = f(x) by reflecting in the ---Select--- 0 . (b) The graph of y = f(x) is obtained from the graph of y = f(x) by reflecting in the ---Select--- 0 . Need Help? _ 7. [-l0.23 Points] DETAILS SPRECALC7 2.6.503.XP. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Suppose the graph of fis given. Describe how the graph of each function can be obtained from the graph of f. (a) y=f(x9)+% O shift right 9 units, then stretch vertically by a factor of% 0 shift left 9 units, then shift down % units 0 shift right 9 units, then shift up % units 0 shift right 9 units, then shift down % units 0 shift left 9 units, then shift up % units (b) y=r(x+9)% 0 shift right 9 units, then shift up % units shift left 9 units, then shift up Q units 9 shift right 9 units, then shift down i units 9 0 shift left 9 units, then shift down % units 0 shift left 9 units, then stretch vertically by a factor of% Need Help? _ Submit Answer 8. [IO.23 Points] DETAILS SPRECALC7 2.6.505.XP. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Suppose the graph of fis given. Describe how the graph of each function can be obtained from the graph of f. (a) y = 9 - 4f(X) O stretch vertically by a factor of 4, reflect about the Xaxis, then shift down 9 units O stretch vertically by a factor of 4, reflect about the X-axis, then shift up 9 units 0 stretch vertically by a factor of 4 then shift down 9 units 0 stretch horizontally by a factor of 4, reflect about the Xaxis, then shift up 9 units 0 stretch vertically by a factor of 4, reflect about the y-axis, then shift up 9 units (b) y = 4 - f(-X) 0 reflect about the x-axis, then shift up 4 units 0 reflect about the xaxis, reflect about the y-axis, then shift up 9 units O shift up 4 units, reflect about the Xaxis, then reflect about the yaxis 0 reflect about the X-axis, reflect about the y-axis, then shift up 4 units 0 reflect about the Xaxis, reflect about the yaxis, then shift right 4 units Need Help? __ 4. [-/0.23 Points] DETAILS 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Match the graph with the function. N -6 2 4 6 -6 -4 -2 2 4 -21 -4/ -4 (I) (II) N -6 -4 -2 2 4 6 -6 -4 -2 2 4 6 -2 -2 -4 -4 -6 (III) (IV) ) y = 1x+ 21 ---Select--- ( b ) y = 1x - 21 ---Select--- (c) y = 1x1 - 2 ---Select--- (d) y = - Ixl ---Select--- Submit Answer14. [lO.23 Points] DETAILS SPRECALC7 2.6.045. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Sketch the graph of the function, not by plotting points, but by starting with the graph of a standard function and applying transformations. y=(x5)2+2 0 Need Help? @- 13. [-/0.23 Points] DETAILS SPRECALC7 2.6.039. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Sketch the graph of the function, not by plotting points, but by starting with the graph of a standard function and applying transformations. y=4\\/x 0 Need Help? _ 12. [-/0.23 Points] DETAILS SPRECALC7 2.6.034. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Sketch the graph of the function, not by plotting points, but by starting with the graph of a standard function and applying transformations. f ( x ) = (x + 7) 2 10 10 5 5 -LX -X -10 -5 5 10 - 10 -5 5 10 -5 - 5 O -10 O -10 - 4 10 10 51 5 X X -10 -5 5 10 -10 -5 5 10 -5 -5 -10 -10 O Need Help? Read It9. [-IO.23 Points] DETAILS SPRECALC7 2.6.018. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Suppose the graph of fis given. Describe how the graph of each function can be obtained from the graph of f. (a) y = f(2X) - 6 O shrink horizontally by a factor of %, then shift down 6 units O stretch vertically by a factor of 2, then shift up 6 units 0 shrink vertically by a factor of i, then shift up 6 units O stretch horizontally by a factor of 2, then shift down 6 units 0 shrink horizontally by a factor of %, then shift right 6 units me) O stretch horizontally by a factor of 2, then shrink vertically by a factor of% O stretch horizontally by a factor of 2, then stretch vertically by a factor of 2 O shrink horizontally by a factor of %, then stretch vertically by a factor of 2 Q There is no change. 0 shrink horizontally by a factor of i, then shrink vertically by a factor of% Need Help? 10. [-10.23 Points] DETAILS SPRECALC7 2.6.020.Ml. 0/5 Submissions Used MY NOTES ASK YOUR TEACHER Explain how the graph ofg is obtained from the graph of f. (a) f(X) = x3, g(x) = (x 3)3 0 shift right 3 units 0 shift left 3 units 0 stretch vertically by a factor of 3 0 shift up 3 units 0 shift down 3 units (b) r(x) = x3. 900 = x3 3 0 shift right 3 units 0 shift down 3 units 0 shift up 3 units O stretch vertically by a factor of 3 0 shift left 3 units Need Help? @@