Answer:
(x-2)^2
Step-by-step explanation:
The blue graph is shifted two units to the right of the "original" function x^2 (red). Let's recall the vertex form of a quadratic:
a (x-h)^2 + k
where a represents a constant that describes the opening of the parabola (up/down); h represents horizontal shift; and k represents vertical shift.
The blue graph is two units to the right (+2), there is NO vertical shift and NO change in how the parabola opens.
So, let's plug the appropriate values into vertex form:
(x-(+2))^2
= (x-2)^2
