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A parabola is a mirror-symmetrical U-shape.
- The equation of the parabola is
- The focus is
- The directrix is
- The axis of the symmetry of parabola is:
From the question, we have:
The equation of a parabola is:
Substitute the values of origin and vertex in
Collect like terms
Solve for a
Substitute the values of a and the vertex in
The focus of a parabola is:
Substitute the values of a and the vertex in
The equation of the directrix is:
So, we have:
----- the directrix
The axis of symmetry is:
We have:
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A quadratic function is represented as:
So, we have:
Recall that:
So, we have:
This gives
Hence, the axis of the symmetry of parabola is:
Read more about parabola at: