Quadratic Graphs

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 with a minimum value?

Back

The range is all real numbers greater than or equal to the minimum value of the function.

Front

What is the vertex of a parabola?

Back

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

Front

How do you find the axis of symmetry for a parabola?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the quadratic equation y = ax^2 + bx + c.

Front

What does it mean if a parabola opens upwards?

Back

If a parabola opens upwards, it means the coefficient 'a' in the quadratic equation is positive.

Front

What does it mean if a parabola opens downwards?

Back

If a parabola opens downwards, it means the coefficient 'a' in the quadratic equation is negative.

Front

How can you determine the x-intercepts of a quadratic function?

Back

The x-intercepts can be found by setting the quadratic equation equal to zero and solving for x.

Front

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

Back

The vertex represents the maximum or minimum point of the graph, indicating the highest or lowest value of the function.

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the factored form of a quadratic function?

Back

The factored form is y = a(x - r1)(x - r2), where r1 and r2 are the roots of the function.