Quadratics Vertex Forms

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 identify the vertex from the vertex form of a quadratic equation?

Back

The vertex (h, k) can be directly identified from the equation y = a(x - h)² + k.

Front

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

Back

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

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 find the maximum or minimum value of a quadratic function in vertex form?

Back

The maximum or minimum value occurs at the vertex (h, k). If a > 0, the minimum value is k; if a < 0, the maximum value is k.

Front

Given the equation y = 2(x + 3)² + 4, what is the vertex?

Back

The vertex is (-3, 4).

Front

What is the significance of the vertex in a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on the direction it opens.

Front

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

Back

The vertex represents the maximum point of the parabola.

Front

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

Back

The vertex represents the minimum point of the parabola.

Front

How do you convert standard form to vertex form?

Back

You can convert by completing the square on the standard form equation y = ax² + bx + c.