Axis of Symmetry

Front

What is the definition of the Axis of Symmetry in a parabola?

Back

The Axis of Symmetry is a vertical line that divides a parabola into two mirror-image halves, passing through the vertex.

Front

How do you find the Axis of Symmetry for a quadratic equation in standard form?

Back

The Axis of Symmetry can be found using the formula x = -b/(2a) from the quadratic equation y = ax² + bx + c.

Front

What is the vertex of a parabola?

Back

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

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c.

Front

What does the 'a' in the quadratic equation y = ax² + bx + c represent?

Back

The 'a' value determines the direction and width of the parabola; if 'a' is positive, the parabola opens upwards, and if negative, it opens downwards.

Front

What is the significance of the vertex in relation to the Axis of Symmetry?

Back

The vertex lies on the Axis of Symmetry, which means the parabola is symmetric about this line.

Front

If a parabola opens upwards, what can be said about its vertex?

Back

The vertex is the minimum point of the parabola.

Front

If a parabola opens downwards, what can be said about its vertex?

Back

The vertex is the maximum point of the parabola.

Front

What is the formula to find the y-coordinate of the vertex using the Axis of Symmetry?

Back

Substitute the x-value of the Axis of Symmetry into the quadratic equation to find the y-coordinate of the vertex.

Front

What is the Axis of Symmetry for the quadratic equation y = 2x² + 4x + 1?

Back

x = -1.