Characteristics of Quadratics

Front

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

Back

The range is all real numbers less than or equal to the maximum value.

Front

What does the coefficient 'c' represent in the quadratic equation y=ax²+bx+c?

Back

The coefficient 'c' represents the y-intercept of the quadratic function.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on its direction.

Front

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

Back

The axis of symmetry can be found using the formula x = -b/2a.

Front

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

Back

It means the parabola opens downwards and the vertex is the highest point.

Front

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

Back

It means the parabola opens upwards and the vertex is the lowest point.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.

Front

What is the significance of the 'a' coefficient in a quadratic function?

Back

The 'a' coefficient determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

How can you determine the direction of a parabola?

Back

The direction is determined by the sign of the 'a' coefficient in the quadratic equation.

Front

What is the formula to find the y-coordinate of the vertex of a quadratic function?

Back

The y-coordinate of the vertex can be found using y = f(-b/2a).