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

Question

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

Explanation / Answer

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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