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 range of a quadratic function that opens downwards?

Back

The range is all real numbers less than or equal to the maximum value of the function, represented as (-∞, k] where k is the maximum value.

Front

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

Back

The vertex can be found using the formula x = -b/(2a) for the function f(x) = ax^2 + bx + c.

Front

What does the 'a' value in a quadratic function indicate?

Back

The 'a' value indicates the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

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

Back

The vertex represents the maximum or minimum point of the parabola, depending on its direction.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that passes through the vertex, given by the equation x = -b/(2a).

Front

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

Back

The range can be determined by identifying the highest or lowest point on the graph (the vertex) and the direction the parabola opens.

Front

What is the effect of changing the 'c' value in a quadratic function?

Back

Changing the 'c' value shifts the graph up or down without affecting the shape or direction of the parabola.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c.