Graphing Parabolas in Vertex Form Practice

Front

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

Back

The axis of symmetry is a vertical line that passes through the vertex of the parabola, defined by the equation x = h, where (h, k) is the vertex.

Front

How do you find the vertex of a parabola given in vertex form?

Back

The vertex of a parabola in vertex form y = a(x - h)² + k is the point (h, k).

Front

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

Back

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

Front

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

Back

The vertex is the minimum point of the parabola.

Front

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

Back

The vertex is the maximum point of the parabola.

Front

What is the formula for the axis of symmetry given the vertex (h, k)?

Back

The formula for the axis of symmetry is x = h.

Front

Given the vertex (4, -1), what is the axis of symmetry?

Back

x = 4.

Front

What is the significance of the vertex in a parabola?

Back

The vertex represents the highest or lowest point of the parabola, depending on its orientation.

Front

How do you determine if a parabola has a maximum or minimum value?

Back

If the parabola opens upwards, it has a minimum value at the vertex; if it opens downwards, it has a maximum value at the vertex.

Front

What is the relationship between the vertex and the axis of symmetry?

Back

The vertex lies on the axis of symmetry, which divides the parabola into two mirror-image halves.