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A.horizontal shift 2 units to the left and vertical shift 5 units up
B. horizontal shift 2 units to the left and vertical shift 5 units down
C.horizontal shift 2 units to the right and vertical shift 5 units up
D. horizontal shift 2 units to the right and vertical shift 5 units down
E.vertical stretch by 2, horizontal shift 2 units to the left and vertical shift 5 units up
F.vertical stretch by 2, horizontal shift 2 units to the left and vertical shift 5 units down
G. vertical stretch by 2, horizontal shift 2 units to the right and vertical shift 5 units up
H.vertical stretch by 2, horizontal shift 2 units to the right and vertical shift 5 units down
I.vertical compression by 2, horizontal shift 2 units to the left and vertical shift 5 units up
J.vertical compression by 2, horizontal shift 2 units to the left and vertical shift 5 units down
K.vertical compression by 2, horizontal shift 2 units to the right and vertical shift 5 units up
L.vertical compression by 2, horizontal shift 2 units to the right and vertical shift 5 units
M.down none of the above
Solution
y = x^3
to
y = 2(x - 2)^3 + 5
Transformation 1 : x^3 becomes (x - 2)^3
This happens by "right by 2 units"
Transformation 2 : (x - 2)^3 becomes 2(x - 2)^3
This happens by "vertical stretch by a factor of 2"
Transformatipn 3 : 2(x - 2)^3 + 5
This happens by "upshift by 5 units"
So, the answer is :
G. vertical stretch by 2, horizontal shift 2 units to the right and vertical shift 5 units up

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A.horizontal shift 2 units to the left and vertical shift 5 units up.pdf

  • 1. A.horizontal shift 2 units to the left and vertical shift 5 units up B. horizontal shift 2 units to the left and vertical shift 5 units down C.horizontal shift 2 units to the right and vertical shift 5 units up D. horizontal shift 2 units to the right and vertical shift 5 units down E.vertical stretch by 2, horizontal shift 2 units to the left and vertical shift 5 units up F.vertical stretch by 2, horizontal shift 2 units to the left and vertical shift 5 units down G. vertical stretch by 2, horizontal shift 2 units to the right and vertical shift 5 units up H.vertical stretch by 2, horizontal shift 2 units to the right and vertical shift 5 units down I.vertical compression by 2, horizontal shift 2 units to the left and vertical shift 5 units up J.vertical compression by 2, horizontal shift 2 units to the left and vertical shift 5 units down K.vertical compression by 2, horizontal shift 2 units to the right and vertical shift 5 units up L.vertical compression by 2, horizontal shift 2 units to the right and vertical shift 5 units M.down none of the above Solution y = x^3 to y = 2(x - 2)^3 + 5 Transformation 1 : x^3 becomes (x - 2)^3 This happens by "right by 2 units" Transformation 2 : (x - 2)^3 becomes 2(x - 2)^3 This happens by "vertical stretch by a factor of 2" Transformatipn 3 : 2(x - 2)^3 + 5 This happens by "upshift by 5 units" So, the answer is : G. vertical stretch by 2, horizontal shift 2 units to the right and vertical shift 5 units up