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Mathematics 18 Online
OpenStudy (darkbluechocobo):

Transforming functions.

OpenStudy (darkbluechocobo):

@ganeshie8

OpenStudy (j2lie):

Is a function a quadratic equation?

ganeshie8 (ganeshie8):

to shift left by 6 units, just replace "x" by "x+6" everywhere

OpenStudy (darkbluechocobo):

so that eliminates a and c

ganeshie8 (ganeshie8):

replace "x" by "x+6" in the given equation and see what u get ?

OpenStudy (darkbluechocobo):

x+6-3 and 4(x+6)

ganeshie8 (ganeshie8):

given function : \(\large \mathbb f(x) = \left\{ \begin{array}{lr} x-3 & : x \le 0\\ 4x & : x \gt 0 \end{array} \right. \)

ganeshie8 (ganeshie8):

to shift it to left by "6" units, replace "x" by "x+6" function after shifting left by 6 units : \(\large \mathbb f(x) = \left\{ \begin{array}{lr} x+6-3 & : x+6 \le 0\\ 4(x+6) & : x+6 \gt 0 \end{array} \right. \)

ganeshie8 (ganeshie8):

simplify

OpenStudy (darkbluechocobo):

x-3 4x+24

ganeshie8 (ganeshie8):

simplifying gives u : \(\large \mathbb f(x) = \left\{ \begin{array}{lr} x+3 & : x\le -6\\ 4(x+6) & : x6 \gt -6 \end{array} \right. \)

OpenStudy (darkbluechocobo):

*facepalm*

ganeshie8 (ganeshie8):

:)

OpenStudy (darkbluechocobo):

So would it be B then?

ganeshie8 (ganeshie8):

B is correct !

ganeshie8 (ganeshie8):

remember below transformations : shift left by "k" units : x -> x+k shift right by "k" units : x -> x-k

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