Quadratic Vertex Form Vertex, AoS, Max/Min

Front

What is the Vertex of a quadratic function?

Back

Front

How do you find the Axis of Symmetry (AoS) in a quadratic function?

Back

Front

What does it mean if a quadratic function has a Maximum value?

Back

A Maximum value occurs when the parabola opens downwards (a < 0), and the vertex represents the highest point on the graph.

Front

What does it mean if a quadratic function has a Minimum value?

Back

A Minimum value occurs when the parabola opens upwards (a > 0), and the vertex represents the lowest point on the graph.

Front

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

Back

The direction of the parabola is determined by the coefficient 'a' in the vertex form. If a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What is the standard form of a quadratic equation?

Back

Front

What is the vertex form of a quadratic equation?

Back

Front

How do you convert from standard form to vertex form?

Back

You can convert by completing the square on the standard form equation.

Front

What is the significance of the 'a' value in the vertex form?

Back

The 'a' value determines the width and direction of the parabola. A larger |a| value makes the parabola narrower, while a smaller |a| value makes it wider.

Front

What is the formula to find the x-coordinate of the vertex from standard form?

Back