Attributes of Quadratics D1

Front

What is the vertex of a parabola?

Back

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

Front

How do you determine if a parabola opens upwards or downwards?

Back

If the coefficient of the x^2 term is positive, the parabola opens upwards (positive). If it is negative, it opens downwards (negative).

Front

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

Back

The vertex represents the maximum or minimum value of the quadratic function.

Front

What does it mean for a parabola to have a minimum value?

Back

A parabola has a minimum value if it opens upwards, indicating the vertex is the lowest point.

Front

What does it mean for a parabola to have a maximum value?

Back

A parabola has a maximum value if it opens downwards, indicating the vertex is the highest point.

Front

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

Back

For a quadratic in the form y = ax^2 + bx + c, the vertex can be found using the formula x = -b/(2a).

Front

What is the axis of symmetry in a parabola?

Back

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

Front

What is the general form of a quadratic equation?

Back

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

Front

What is the effect of the 'a' value on the graph of a quadratic function?

Back

The 'a' value determines the direction of the parabola (upward or downward) and its width (narrow or wide).

Front

How do you identify the y-intercept of a quadratic function?

Back

The y-intercept can be found by evaluating the function at x = 0, which gives the point (0, c).