Quadratic Function Attributes (AFDA & Alg 2)

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the quadratic function crosses the x-axis, represented as (x, 0).

Front

What is the turning point of a parabola called?

Back

The turning point of a parabola is called the vertex.

Front

How do you find the axis of symmetry for a quadratic function in the form y = ax^2 + bx + c?

Back

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

Front

What does the vertex of a parabola represent?

Back

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

Front

What is the axis of symmetry?

Back

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

Front

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

Back

If the coefficient 'a' in the quadratic function y = ax^2 + bx + c is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the graph crosses the y-axis, found by evaluating the function at x = 0.

Front

How do you find the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value can be found at the vertex, using the y-coordinate of the vertex.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is y = ax^2 + bx + c.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is y = a(x - h)^2 + k, where (h, k) is the vertex.