finding equation of the image

A

Step-by-step explanation:

Here, we want to write the final formula for the equation after performing the given transformations

Reflection on the y-axis means the x-axis value will change sign

that will give:

y = -x^1/3

Transition of 3 units in the positive x axis

mathematically, we are adding 3 to x

so we have

y = -(x+3)^1/3

4 units in the negative y direction means we are subtracting 4 from the whole equation

That means;

y = -(x + 3)^1/3 - 4

This shows that the first option is right

where is the figure