How is the graph of the function $f(x) = 5(x - 2)^2 + 6$ transformed from the parent function $y = x^2$?

It is vertically stretched by a factor of 5.

It is vertically compressed by a factor of 5.

It is vertically stretched by a factor of 2.

It is vertically compressed by a factor of 1/5.

Which statement correctly describes the transformation applied to $y = x^2$ to get the graph of $f(x) = -4(x - 1)^2$?

A reflection across the x-axis and a vertical stretch by a factor of 4.

A reflection across the x-axis and a vertical compression by a factor of 4.

A vertical stretch by a factor of 4 only.

A reflection across the y-axis and a vertical stretch by a factor of 4.