Graphing Parabolas in Vertex Form Practice

Front

What is the vertex of a parabola 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 indicates 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

How do you find the axis of symmetry for a parabola in vertex form?

Back

The axis of symmetry for a parabola in vertex form y = a(x-h)² + k is the vertical line x = h.

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 the direction it opens.

Front

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

Back

If a parabola opens upwards, the vertex is the minimum point of the parabola.

Front

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

Back

If a parabola opens downwards, the vertex is the maximum point of the parabola.

Front

Given the vertex (-2, 3), what is the axis of symmetry?

Back

The axis of symmetry is the line x = -2.

Front

What is the vertex of the parabola represented by the equation y = 2(x + 1)² - 5?

Back

The vertex is (-1, -5).

Front

How can you determine if a parabola is narrow or wide from its equation?

Back

You can determine the width by looking at the 'a' value in the vertex form; larger |a| means narrower, smaller |a| means wider.

Front

What is the standard form of a parabola?

Back

The standard form of a parabola is y = ax² + bx + c.