Question

The vertex of this parabola is at (1,3). Which of the following could be its

equation?
10
(1,3)
-10
10
- 10+

Answer 1

C.
`x = 3\cdot (y-3)^(2)+1`

Explanation:

From Analytical Geometry, the equation of a parabola with axis of symmetry parallel to the x-axis and centered in
`V(x,y) = (h,k)` is described below:

`x-h = C\cdot (y-k)^(2)` (1)

Where:

`x` - Independent variable.

`y` - Dependent variable.

`h`,
`k` - Coordinates of the vertex.

`C` - Vertex factor.

If we know that
`h = 1` and
`k = 3`, then the equation of the parabola is:

`x-1 = C\cdot (y-3)^(2)`

`x = C\cdot (y-3)^(2)+1`

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