Vertex Form of a Quadratic

Front

What is the vertex form of a quadratic equation?

Back

Front

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

Back

Front

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

Back

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

Front

How can you determine if a quadratic function is increasing or decreasing?

Back

A quadratic function is increasing on the interval to the right of the vertex and decreasing on the interval to the left of the vertex.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola, depending on whether it opens upwards or downwards.

Front

How do you convert a standard form quadratic equation to vertex form?

Back

Front

What is the axis of symmetry in a quadratic function?

Back

Front

If a parabola opens downwards, what can you say about its vertex?

Back

If a parabola opens downwards, the vertex is the highest point on the graph.

Front

What is the effect of changing the 'h' value in the vertex form?

Back

Changing the 'h' value shifts the parabola left or right. If 'h' increases, the parabola shifts to the right; if 'h' decreases, it shifts to the left.

Front

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

Back

Changing the 'k' value shifts the parabola up or down. If 'k' increases, the parabola shifts up; if 'k' decreases, it shifts down.