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 about the parabola?

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 for a parabola in vertex form?

Back

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

Front

How can you determine if a parabola opens upwards or downwards?

Back

If the 'a' value in the vertex form y = a(x - h)² + k is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the maximum or minimum value of a parabola in vertex form?

Back

The maximum or minimum value occurs at the vertex (h, k). If 'a' is positive, the vertex is a minimum; if 'a' is negative, the vertex is a maximum.

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 point (h, k) in the context of a parabola?

Back

The point (h, k) is the vertex of the parabola, which represents the highest or lowest point on the graph.

Front

What does it mean if a parabola has a vertex at (0,0)?

Back

If a parabola has a vertex at (0,0), it is centered at the origin and may open upwards or downwards depending on the 'a' value.

Front

How do you convert from standard form to vertex form?

Back

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