Pop Flashcard; Attributes of quadratic functions

Front

What is a quadratic function?

Back

Front

What is the standard form of a quadratic function?

Back

Front

What does the coefficient 'a' in a quadratic function determine?

Back

The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on the direction it opens.

Front

How do you find the axis of symmetry of a quadratic function?

Back

Front

What is the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value of a quadratic function occurs at the vertex. If the parabola opens upwards, it has a minimum value; if it opens downwards, it has a maximum value.

Front

What is the significance of the discriminant in a quadratic equation?

Back

Front

What is a parabola?

Back

A parabola is the graph of a quadratic function, characterized by its U-shape, which can open upwards or downwards.

Front

What does it mean for a parabola to open upwards?

Back

A parabola opens upwards when its leading coefficient 'a' is positive, indicating that the vertex is the minimum point.

Front

What does it mean for a parabola to open downwards?

Back

A parabola opens downwards when its leading coefficient 'a' is negative, indicating that the vertex is the maximum point.