Graphing Parabolas in Vertex Form Practice

Front

What is the vertex form of a parabola?

Back

The vertex form of a parabola is given by the equation 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 equation?

Back

In the equation y = 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 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

What is the axis of symmetry in a parabola?

Back

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

Front

How do you find the y-intercept of a parabola in vertex form?

Back

To find the y-intercept, set x = 0 in the vertex form equation and solve for y.

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

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 graph.

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 graph.

Front

What is the relationship between the vertex and the focus of a parabola?

Back

The vertex is the midpoint between the focus and the directrix of the parabola.

Front

How can you determine if a point lies on a parabola given in vertex form?

Back

Substitute the x-coordinate of the point into the vertex form equation and check if the resulting y-value matches the y-coordinate of the point.