Aparent function and transformed function are shown: function  y=^3_/-x       y= -(0.4)^3_/-x-2which of the following describes the graph of the transformed function compared with the parent function? select all that apply. reflected over the x-axis translated 2 units left translated 2 units right compressed by a factor of 0.4 stretched by a factor of 0.4 translated 2 units up translated 2 units down

Step-by-step explanation:

Given parent function :

Transformed function : .

According to rules of transformation y= -f(x) reflects f(x) over x-axis.

Therefore, first transformation is applied is , reflects f(x) over x-axis.

Second we have 0.4 in front of cube root.

According to rules of transformation, for y = k f(x), if k is less than 1, it would  compressed by a factor k.

Therefore, second transformation is applied is compressed by a factor 0.4.

Now, third thing we can see that -x is being subtracted by -2.

According to rules of transformation, for y=f(x-c) it would be a horizontal translation of c unit to the right.

Therefore, fourth transformation is applied is is  translated 2 units right.

Therefore, the following rules being transformations are being applied in above given transformed function:

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.