Characteristics of Parabola

Front

What is the axis of symmetry in a parabola?

Back

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

Front

What type of function does a parabola represent?

Back

A quadratic function.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point on the graph of the parabola, depending on whether it opens upwards or downwards.

Front

What does it mean if a parabola opens upwards?

Back

It means the vertex is the minimum point of the function.

Front

What does it mean if a parabola opens downwards?

Back

It means the vertex is the maximum point of the function.

Front

How can you identify the roots of a parabola?

Back

The roots (or x-intercepts) are the points where the parabola intersects the x-axis.

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax² + bx + c, where a, b, and c are constants.

Front

What is the significance of the 'a' value in the quadratic function?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.

Front

What is the formula to find the vertex of a parabola in standard form?

Back

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

Front

What is the y-intercept of a parabola?

Back

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