Key Characteristics of Quadratics Practice 1

Front

What is a quadratic function?

Back

Front

What is the standard form of a quadratic function?

Back

Front

What is the vertex of a quadratic function?

Back

Front

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

Back

Front

What is the range of a quadratic function that opens downwards?

Back

The range is all values less than or equal to the y-coordinate of the vertex.

Front

What is the range of a quadratic function that opens upwards?

Back

The range is all values greater than or equal to the y-coordinate of the vertex.

Front

What does it mean for a quadratic function to have real roots?

Back

A quadratic function has real roots if the discriminant (b^2 - 4ac) is greater than or equal to zero.

Front

What is the discriminant of a quadratic function?

Back

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum value of the function, depending on whether the parabola opens upwards or downwards.

Front

How do you determine if a quadratic function opens upwards or downwards?

Back

A quadratic function opens upwards if the coefficient a > 0 and downwards if a < 0.