Parabola Basics

Front

What is a parabola?

Back

A parabola is a symmetrical, U-shaped curve that can open either upwards or downwards. It is the graph of a quadratic function.

Tags

CCSS.HSF-IF.C.7A

Front

What is the standard form of a quadratic equation?

Back

Front

What does the 'a' in the quadratic equation affect?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

How do you find the axis of symmetry of a parabola?

Back

Front

What is the y-intercept of a parabola?

Back

Tags

CCSS.HSF-IF.C.7A

Front

What is the x-intercept of a parabola?

Back

Tags

CCSS.HSF-IF.C.7A

Front

What does the term 'discriminant' refer to in a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

Front

What does a positive discriminant indicate?

Back

A positive discriminant indicates that the quadratic equation has two distinct real roots.

Tags

CCSS.HSA-REI.B.4B

Front

What does a zero discriminant indicate?

Back

A zero discriminant indicates that the quadratic equation has exactly one real root (a repeated root).

Tags

CCSS.HSA-REI.B.4B