On a parabola, the extreme point (which is the highest, lowest, or farthest point left or right) is called the _____.

The extreme point on a parabola is called the vertex. This point is significant because it represents the maximum or minimum value of the quadratic function, depending on the orientation of the parabola. For a parabola that opens upwards, the vertex is the minimum point, while for one that opens downwards, the vertex serves as the maximum point.

Mathematically, the vertex can be found using the formula $x = -\frac{b}{2a}$ for a quadratic equation in the standard form $y = ax^2 + bx + c$. Once you determine the x-coordinate, you can substitute it back into the equation to find the y-coordinate of the vertex. Understanding the location of the vertex is crucial in graphing parabolas and analyzing their properties.