3. The function f(x) = x^3 undergoes the following transformations: horizontal reflection
vertical expansion by a factor of 4 and then translated 2 unit up and 10 to the
right. Write the equation of the image function (this is the final function).

f(x) = -4(x - 10)^3 + 2.

Step-by-step explanation:

Parent function f(x) = x^3.

The horizontal reflection gives the function -x^3.

The vertical expansion factor 4  gives the function -4(x)^3.

Translation of 2 up gives  -4(x)^3 + 2.

Translation of 10 to the right gives f(x) = -4(x - 10)^3 + 2.

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