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Use the graph of a translated function below to answer this question: cubic graph going through turning point of (−2, −3) Given the parent function of f(x) = x3, what is the value of h in the translated graph of f(x − h) + k?

Respuesta :

To translate x^3 to new function we move it 2 to left to x = -2 then down 3 units to y = -3

New graph is (x - -2)^3 - 3

h = -2

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Answer:

[tex]h=-2[/tex]


Step-by-step explanation:

Parent function [tex]f(x)=x^3[/tex]

Translated function [tex]f(x)=(x-h)^3+k[/tex]

Where,

  • h is the horizontal translation (x point), and
  • k is the vertical translation (y point)

For the original function, the turning point is at (0,0) and for the translated function, (-2,-3) is the turning point. So x point of -2 should be in place of h, and y point of -3 should be in place of k.

Hence, value of h is -2.

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