Vertex Form Quadratics

Front

What is the vertex form of a quadratic equation?

Back

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

Front

How do you identify the vertex from the vertex form?

Back

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

Front

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

Back

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

Front

What is the axis of symmetry in a parabola given in vertex form?

Back

The axis of symmetry is the vertical line x = h, where (h, k) is the vertex.

Front

How can you convert standard form to vertex form?

Back

To convert from standard form (y = ax² + bx + c) to vertex form, complete the square.

Front

What is the vertex of the parabola given by f(x) = 3(x + 2)² - 5?

Back

The vertex is (-2, -5).

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

What is the effect of changing the 'h' value in the vertex form?

Back

Changing the 'h' value shifts the parabola left or right along the x-axis.

Front

What is the effect of changing the 'k' value in the vertex form?

Back

Changing the 'k' value shifts the parabola up or down along the y-axis.