Question

# Write a function based on the given parent function and transformations in the given order. Parent function: y = x³ Shift 4.2 units to the left. Reflect across the y-axis. Shift upward 2.3 units.

Functions
Write a function based on the given parent function and transformations in the given order. Parent function: y = x³
Shift 4.2 units to the left. Reflect across the y-axis. Shift upward 2.3 units.

Shift 4.2 units to the left: Add 4.2 to the input x: $$\displaystyle{y}={\left({x}+{4.2}\right)}^{{{3}}}$$
Reflect across the yy-axis: Change the sign of x: $$\displaystyle{y}={\left(−{x}+{4.2}\right)}^{{{3}}}$$
Shift upward 2.3 units: Add 2.3 to the output: $$\displaystyle{y}={\left(−{x}+{4.2}\right)}^{{{3}+{2.3}}}$$