Determine the parent function from which the graph of the function shown below can be obtained. Next, identify each transformation that can be applied to the parent function in order to obtain the graph of the function shown below.

$\displaystyle {g{{\left({x}\right)}}}={\left(-{x}\right)}^{{3}}+{6}$

a) Choose the correct parent function.

b) Choose the correct transformation (Reflections).
Select an answer No reflections Reflection across the x-axis Reflection across the y-axis Reflection across both axes

c) Choose the correct transformation (Stretches/Compressions).
Select an answer No vertical stretch or compression Vertical stretch by a factor of 6 Vertical compression by a factor of 6

d) Choose the correct transformation (Vertical Shifts).
Select an answer No vertical shift Vertical shift up 6 units Vertical shift down 6 units

e) Choose the correct transformation (Horizontal Shifts).
Select an answer No horizontal shift Horizontal shift left 6 units Horiztonal shift right 6 units