Question

the point where a parabola reaches its highest or lowest value is known as the ____. the line that divides a parabola into two equal halves is called the __. the points where a parabola intersects the x-axis are known as ____.

Explanation:

First Question:

In the study of parabolas (a topic in Algebra, a subfield of Mathematics), the point where a parabola reaches its maximum (if it opens downward) or minimum (if it opens upward) value is called the vertex. This is a fundamental concept in the analysis of quadratic functions (which graph as parabolas).

For a parabola, the line that splits it into two mirror - image (equal) halves is known as the axis of symmetry. This line passes through the vertex of the parabola. In the context of quadratic functions (part of Algebra), this is a key concept for understanding the symmetry of the parabola's graph.

When a parabola (the graph of a quadratic function) intersects the x - axis, the y - coordinate of those intersection points is 0. These points are called the roots (or zeros) of the quadratic function, and they are also referred to as the x - intercepts of the parabola. In the study of quadratic equations (within Algebra), finding these points is an important part of analyzing the function.

Answer:

vertex

Second Question: