The vertex of the parabola is given by :
.
So,
is the first coordinate of the vertex, which means it is also the point where the line of symmetry passes.
The line of symmetry divides the parabola into 2 symmetrical parts: the x-intercepts are also symmetrical to each other with respect to this line.
So, if one of the x-intercepts is
, that is 3 units to the right of the x-intercept, the other must be 3 units to the left. Thus, the second x-intercept is :
Answer:
,
So,
The line of symmetry divides the parabola into 2 symmetrical parts: the x-intercepts are also symmetrical to each other with respect to this line.
So, if one of the x-intercepts is
Answer: