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

Back

The 'a' value indicates the direction the parabola opens: if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

Front

What is the vertex of the parabola given by the equation y = 2(x + 3)² - 4?

Back

The vertex is (-3, -4).

Front

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

Back

If the parabola opens upwards (a > 0), it has a minimum value at the vertex. If it opens downwards (a < 0), it has a maximum value at the vertex.

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 its orientation.

Front

How do you convert the standard form of a parabola to vertex form?

Back

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

Front

What is the axis of symmetry for the parabola with vertex (-2, 3)?

Back

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

Front

Given the vertex (1, -2) and a = 3, write the vertex form of the parabola.

Back

The vertex form is y = 3(x - 1)² - 2.

Front

What is the effect of changing the 'k' value in the vertex form of a parabola?

Back

Changing the 'k' value shifts the parabola vertically: increasing 'k' moves it up, and decreasing 'k' moves it down.