# How do you find the axis of symmetry if only given points (0,2) and (6,2)?

##### 1 Answer

Axis of symmetry:

#### Explanation:

Assuming we are talking about a parabola in standard position (with either a vertical or horizontal axis of symmetry:

Since

the axis of symmetry can not be horizontal.

(A horizontal axis of symmetry has single

So (based on the assumption (above) the axis of symmetry is vertical

i.e. the axis of symmetry is of the form

and by definition of the axis of symmetry:

i.e. the

and the axis of symmetry is

Note that it is possible to have a parabola which has an axis of symmetry that is at an angle to both the X and Y-axis and which passes through the given points, but its axis of symmetry is impossible to determine from the given data.