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f(x) = x ^ 3 - 6 ; translation 3 units left, followed by a reflection in the y-axis


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The resulting function if translated 3 units left, followed by a reflection in the y-axis is  f(x) = (-x-3)^2  - 6

Given the function f(x) = x^3 - 6

If the function is translated 3 units left, the function will be expressed as

  • f(x) = (x-3)^2  - 6

When a function f(x) = x is reflected over the y-axis the result will be f(x) = -x

For the function f(x) = (x-3)^2  - 6 reflected over the y-axis the resulting function will be f(x) = (-x-3)^2  - 6

Learn more about translation here: https://brainly.com/question/1046778

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