Function Notation Transformation

The function $$f\left(x\right)$$ was reflected over the x-axis and vertically stretched with a scale factor of 3 and shifted 8 units up. Which rule describes this transformation?

Describe the transformations that took place from $$f\left(x\right)=x^3$$ to $$g\left(x\right)=\left(x-4\right)^3-2$$

f(x) moved ​ (a)   4 units and ​​ ​ (b)   2 units to create g(x)

The function $$f\left(x\right)=x^2$$ was transformed to create the function $$g\left(x\right)=f\left(x-2\right)+5$$ . Complete the sentence about this transformation.

The graph of f is translated 2 units ​ (a)   and 5 units ​ (b)   to created the graph of function g.

Describe the transformation from the graph of f to the graph of g. g\left(x\right)=f\left(x-9\right)

Describe the transformation from the graph of f to the graph of g. g(x)=f(x+8)

Describe the transformation from the graph of f to the graph of g. g\left(x\right)=f\left(\frac{1}{4}x\right)

Describe the transformation from the graph of f to the graph of g. g(x)=f(x+5)

Describe the transformation from the graph of f to the graph of g. g(x)=f(-x)

Describe the transformation from the graph of f to the graph of g. g(x)=f(x)+6

Describe the transformation from the graph of f to the graph of g. g(x)=-f(x)+3