Answer:
y - 1 = x^2
Explanation:
The vertex of this parabolic graph is (0, 1). Inserting these values into
y - k = (x - h)^2 yields y - 1 = a(x - 0)^2. We must find the appropriate value for a so that the point (1, 3) satisfies this equation, keeping in mind that this graph has been stretched vertically.
3 - 1 = a(1 -0)^2, or:
2 = a(1)^2, or a = 2.
Then the equation of this graph is y - 1 = 2(x - 0)^2, or y - 1 = x^2