A dilation maps a segment of length $4$ units to a segment of length $8$ units. What is the scale factor of the dilation?

Use the graph of y = f(x) to graph each function g.

g(x) = f(x-1) - 2

Begin by graphing the standard quadratic function, f(x) = x². Then use transformations of this graph to graph the given function. h(x) = -(x − 2)²

Written below (green dotted curve) is a graph of the function $f\left(x\right)=\sqrt{x-2}$. If g(x) (blue solid curve) is a reflection of f(x) about the y-axis what is the equation for g(x)?

The green dotted line in the graph below represents the function $f\(\left\)(x\(\right\))$. The blue solid line represents the function $g\(\left\)(x\(\right\))$, which is the function $f\(\left\)(x\(\right\))$after it has gone through a shift transformation. Find the equation for $g\(\left\)(x\(\right\))$.