Respuesta :

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

First of all, it's a graph of mod function, which is transformed.

So, let's proceed with taking graph of modulus initially ~

[tex]\qquad \sf  \dashrightarrow \: y = |x| [/tex]

The required can be tranformed by moving it three units left and four units down.

so, we need to add 3 to x within the function to move it left by units.

i.e

[tex]\qquad \sf  \dashrightarrow \: y = |x + 3| [/tex]

Now, to move it down by 4 units we need to subtract 4 from the whole function.

[tex]\qquad \sf  \dashrightarrow \: y = |x + 3| - 4[/tex]

So, the correct choice is : C

the required can be transformed by moving at 3 units left and 4 units down do you understand ? after that are 3 and x

y = x + 3

now to move it down by 4 units we need to subtract for from the whole function which is y is equal to x + 3 - 4

y = |x+3| - 4

the answer is c

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