Parabola Check-In

Front

What is a parabola?

Back

A parabola is a U-shaped curve that is defined as the set of all points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point on the parabola, depending on its orientation. It is the point where the parabola changes direction.

Front

How do you find the vertex of a parabola in vertex form?

Back

Front

What does the 'a' value in the vertex form of a parabola indicate?

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola (narrower if |a| > 1, wider if |a| < 1).

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that passes through the vertex of the parabola, dividing it into two mirror-image halves.

Front

What are the roots of a parabola?

Back

Front

What is the difference between maximum and minimum points in a parabola?

Back

A maximum point is the highest point on a downward-opening parabola, while a minimum point is the lowest point on an upward-opening parabola.

Front

How do transformations affect the graph of a parabola?

Back

Transformations such as shifts, stretches, and reflections can change the position, shape, and orientation of the parabola.

Front

What is the standard form of a quadratic equation?

Back

Front

How can you determine if a parabola opens upward or downward?

Back