Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is given by: y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you find the vertex from the vertex form?

Back

In the vertex form y = a(x - h)² + k, the vertex is the point (h, k).

Front

What does the 'a' in the vertex form indicate?

Back

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

Front

Back

The vertex is (3, 4).

Front

What is the significance of the vertex in a parabola?

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

How can you convert standard form to vertex form?

Back

You can convert standard form (y = ax² + bx + c) to vertex form by completing the square.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that passes through the vertex, given by the equation x = h.

Front

If a parabola opens upwards, what can you say about its vertex?

Back

The vertex is the minimum point of the parabola.

Front

If a parabola opens downwards, what can you say about its vertex?

Back

The vertex is the maximum point of the parabola.

Front

Back

The vertex is (-2, 5).