The correct answer for the exercise shown in the figure attached is the first option (Option A), which is:
A. y=(x-2)^2-4
1. As you can see in the figure attached, the red parabola has the function f(x)=x^2. This is the patern function. By definition, which is the most basic function of the quadratics functions.
2. The blue parabola is shifted 2 units at x axis and 4 units in the -y axis. Therefore, the correct function that represents this parabola is the function of the option A.
3. If you want to verify it, you can give values to x and plot each point on a graph.
