Attributes of Quadratics D1

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation. For the given parabola, the vertex is (3, -1).

Front

What does the green dot on a parabola represent?

Back

The green dot represents the maximum or minimum point of the parabola, known as the vertex.

Front

How can you determine if a parabola is positive or negative?

Back

A parabola is positive if it opens upwards (U-shaped) and negative if it opens downwards (inverted U-shaped).

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the parabola crosses the y-axis. For the given quadratic function, the y-intercept is 2.

Front

What does it mean for a parabola to be positive?

Back

A positive parabola opens upwards, indicating that the vertex is the minimum point.

Front

What does it mean for a parabola to be negative?

Back

A negative parabola opens downwards, indicating that the vertex is the maximum point.

Front

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

Back

The vertex can be found using the formula (-b/2a, f(-b/2a)) for a quadratic function in the form ax^2 + bx + c.

Front

What is the significance of the vertex in application-based problems?

Back

The vertex indicates the maximum or minimum value of the quadratic function, which is crucial in optimization problems.

Front

What is the general form of a quadratic function?

Back

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

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.