Answer:
y = (x - 2)^2 + 1
Step-by-step explanation:
The general equation of a parabola in vertex form is y-k = (x-h)^2. Here, we can see immediately from the graph that the vertex is at (2, 1). Thus, the equation of this particular parabola takes the form y - 1 = a(x - 2)^2. We must still determine the value of a. Note that the graph goes through (0, 5). Thus, 5 - 1 = a(0 - 2)^2, or
4 = 4a. Thus, a = 1, and the equation of this parabola is y - 1 = (x - 2)^2, or, after simplification, y = (x - 2)^2 + 1.
