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Cubic Function Form:
y=
However here we only need ax^3 and +d
ax^3 makes the graph wider or skinnier or reflects it if negative.
So the first coefficient will be negative since we want to reflect it along the x axis
To move left three we will have to add 3 to the ax^3 giving us something like (x+3)^3
To move up 5 we set our y intercept (the +d part) to d=5.
Combing everything together gives us (x+3)^3+5