Vertex form

Front

What is the vertex form of a quadratic equation?

Back

Front

Back

The vertex is (h, k) = (4, 1).

Front

Back

The axis of symmetry is x = h = 3.

Front

Back

a = 2, h = -4, k = -1.

Front

What does the value of 'a' indicate in the vertex form of a quadratic equation?

Back

The value of 'a' indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width (narrower if |a| > 1, wider if |a| < 1).

Front

Back

The equation has a maximum value.

Front

What does it mean if a parabola is described as 'wider'?

Back

A parabola is described as 'wider' when the absolute value of 'a' in the vertex form is less than 1 (|a| < 1).

Front

How can you tell if a parabola opens upwards or downwards?

Back

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

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

Back

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

Front

How do you convert a standard form quadratic equation to vertex form?

Back

You can convert by completing the square.