Quadratic Characteristics: Review

Front

What is the range of a quadratic function with a maximum value?

Back

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

Front

What is the range of a quadratic function with a minimum value?

Back

The range is all values greater than or equal to the minimum value.

Front

What does the vertex of a parabola represent?

Back

The vertex represents the highest or lowest point of the parabola, depending on its orientation.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, passing through the vertex.

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 is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

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

Back

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

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers.

Front

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

Back

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the formula for the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).