Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

Front

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

Back

Front

What does the 'h' value represent in the vertex form?

Back

The 'h' value represents the x-coordinate of the vertex and indicates horizontal shifts of the parabola.

Front

What does the 'k' value represent in the vertex form?

Back

The 'k' value represents the y-coordinate of the vertex and indicates vertical shifts of the parabola.

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 whether it opens upwards or downwards.

Front

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

Back

Front

Back

This equation represents a reflection over the x-axis, a vertical stretch by a factor of 3, a left shift of 2 units, and an upward shift of 4 units.

Front

What does a negative 'a' value indicate in the vertex form?

Back

A negative 'a' value indicates that the parabola opens downwards, meaning it has a maximum point.

Front

How can you identify the maximum or minimum value of a quadratic function in vertex form?

Back

The maximum or minimum value is given by the y-coordinate of the vertex (k). If 'a' is positive, it's a minimum; if 'a' is negative, it's a maximum.

Front

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

Back

Changing the 'a' value affects the width and direction of the parabola. A larger absolute value of 'a' makes the parabola narrower, while a smaller absolute value makes it wider.