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How do you translate the graph of f(x) = x3 left 4 units and down 2 units? Identify the equation of the graph.

Respuesta :

carlosego

Answer: [tex]f(x)=(x+4)^{3}-2[/tex]

Step-by-step explanation:

 You have the parent function:

[tex]f(x)=x^{3}[/tex]

If you make f(x+4) you obtain;

[tex]f(x+4)=(x+4)^{3}[/tex] The function is translated to the left 4 units.

If you make f(x+4)-2 you obtain;

[tex]f(x+4)-2=(x+4)^{3}-2[/tex] Then the function is translated to the left 4 units and shifted down 2 units.

Therefore, the answer is  [tex]f(x)=(x+4)^{3}-2[/tex]

Ashraf82

Answer:

f(x) = (x + 4)³ - 2

Step-by-step explanation:

∵ f(x) = x³

∵ The function translated 4 units to the left

∴ The x-coordinate must added by 4 to be x + 4

∵ The function translated 2 units down

∴ The y-coordinate must be subtracted by 2 to be y - 2

∴ f(x) = (x + 4)³ - 2

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