Question

What is the equation of the graph?

Answer 1

Answer:

y - 1 = x^2

Step-by-step 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