Parabola Review

Front

What is a parabola?

Back

A parabola is a symmetrical, U-shaped curve that can open upwards or downwards. It is defined as the set of all points 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 of the parabola, depending on its orientation. It is the point where the parabola changes direction.

Front

What is the focus of a parabola?

Back

The focus is a fixed point located inside the parabola. It is used in the definition of a parabola and is located along the axis of symmetry.

Front

What is the directrix of a parabola?

Back

The directrix is a fixed line used in the definition of a parabola. It is perpendicular to the axis of symmetry and is located outside the parabola.

Tags

CCSS.HSG.GPE.A.2

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It passes through the vertex and the focus.

Front

How is the value of 'a' related to the parabola's width?

Back

The value of 'a' determines the width of the parabola. A larger absolute value of 'a' results in a narrower parabola, while a smaller absolute value results in a wider parabola.

Tags

CCSS.HSF-IF.C.7A

Front

What is the relationship between 'a' and 'p' in a parabola?

Back

Front

What does the equation of a parabola look like in vertex form?

Back

Front

What is the standard form of a parabola's equation?

Back

Front

How do you find the vertex from the standard form of a parabola?

Back