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 whether it opens upwards or downwards.

Front

How do you find the vertex of a quadratic function in standard form?

Back

Front

What is the axis of symmetry in a quadratic function?

Back

Front

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

Back

The maximum or minimum value occurs at the vertex: if 'a' is negative, the vertex is a maximum; if 'a' is positive, the vertex is a minimum.

Front

What is the significance of the y-intercept in a quadratic function?

Back

Front

How can you determine if a quadratic function has real roots?

Back

Front

What is the general shape of a quadratic function's graph?

Back

The graph of a quadratic function is a parabola, which can open upwards or downwards.