Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What are the zeros of a quadratic function?

Back

The zeros of a quadratic function are the values of x for which f(x) = 0. They are the x-intercepts of the graph.

Front

How can you find the zeros of a quadratic function graphically?

Back

You can find the zeros by identifying the points where the graph intersects the x-axis.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, depending on the direction of the parabola.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = -b/(2a).

Front

What is the range of a quadratic function?

Back

The range is the set of possible output values (y-values) of the function, which depends on the vertex and the direction of the parabola.

Front

What does it mean if a quadratic function opens upwards?

Back

If a quadratic function opens upwards, it means the coefficient 'a' is positive, and the vertex is the minimum point.

Front

What does it mean if a quadratic function opens downwards?

Back

If a quadratic function opens downwards, it means the coefficient 'a' is negative, and the vertex is the maximum point.

Front

How do you determine the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers unless otherwise restricted by a specific context.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax² + bx + c, where a, b, and c are constants.