The vertex of this parabola is at (1,3). Which of the following could be its equation?
10
(1,3)
-10
10
- 10+

C.

Step-by-step explanation:

From Analytical Geometry, the equation of a parabola with axis of symmetry parallel to the x-axis and centered in is described below:

(1)

Where:

- Independent variable.

- Dependent variable.

, - Coordinates of the vertex.

- Vertex factor.

If we know that and , then the equation of the parabola is:

Therefore, the option that could be its equation is C.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8