Characteristics of Quadratics Functions

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax² + bx + c, where a, b, and c are constants.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is y = ax² + bx + c.

Front

What does the 'a' in a quadratic function represent?

Back

The 'a' value 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 quadratic function?

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 axis of symmetry of a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b/(2a), where a and b are coefficients from the quadratic equation.

Front

What is the axis of symmetry for the function y = 3(x - 2)² + 4?

Back

The axis of symmetry is x = 2.

Front

Identify the quadratic term in the function y = 16x² - 8x - 24.

Back

The quadratic term is 16x².

Front

What is the vertex of the function y = -2(x - 3)² + 1?

Back

The vertex is (3, 1).

Front

What does it mean if a quadratic function has a maximum?

Back

A maximum occurs when the parabola opens downwards, indicating the highest point on the graph.

Front

What does it mean if a quadratic function has a minimum?

Back

A minimum occurs when the parabola opens upwards, indicating the lowest point on the graph.