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Homework answers / question archive / The graph of the rational parent function has been transformed as follows: shifted left 4 units, vertically dilated by a factor of 2, and shifted up 5 units

The graph of the rational parent function has been transformed as follows: shifted left 4 units, vertically dilated by a factor of 2, and shifted up 5 units

Math

The graph of the rational parent function has been transformed as follows: shifted left 4 units,
vertically dilated by a factor of 2, and shifted up 5 units. If k(x) represents the transformed equation, which
answer choice correctly identifies k(x)? 2 +5 OK(D) = 2 2(2+4) Oki= 1 + 5 2(x-4) OK(x) = - - +5

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The graph of the rational payent function has been transformed -. . . .. .. 2 As we know that rational parent function f ( x ) = I ( I ) Transformation : - I - shifted left 4 units . Note : - S ( 09 ) shifted b units f ( 2C ) = I to the left is represented ( 2 + 4 ) as fay = f (xtb) inversely to the Right is repre ". f (x ) =z a f, ( x ) = f (x- b) Oct 4 ( IF ) Transformation : - 2 vertically dilated by a factor -) assume we stretch dilation in the vertical direction by a scale factor of a them the tricins formation will be f ( ) - 9. f ( xc ) Here a = 2, put a value in equation ( 2 ) .. : Transformation . f ( c ) - 9 . f ( x ) = ( 2 ) I (oct4 ) Transformation = 2 ( 2( + 4 )

( III ) Transformation: - 3 -> shifted Up 5 units. - shifting up to a unit will Change fransfort- mation
of f ( x ) - f ( DC ) + a Transformation = k (2 ) = 2 + 5 i (xx ) = 2 + 5