Quadratic Domain and Range

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, represented as (-∞, ∞).

Front

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

Back

The range is all real numbers greater than or equal to the minimum value of the function, represented as [k, ∞) where k is the minimum value.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, 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 does it mean for a quadratic function to have a range of all real numbers greater than or equal to a certain value?

Back

It means that the function's output (y-values) starts from that value and goes to infinity.

Front

Back

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

Front

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

Back

Front

What is the standard form of a quadratic function?

Back

Front

How can you determine the range of a quadratic function from its graph?

Back

The range can be determined by identifying the vertex and the direction the parabola opens.

Front

What is the axis of symmetry in a quadratic function?

Back