2-1 Transforming Quadratics

Front

What is the vertex form of a quadratic equation?

Back

Front

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

Back

The value of 'a' 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 parabola has a maximum or minimum value?

Back

A parabola has a minimum value if it opens upwards (a > 0) and a maximum value if it opens downwards (a < 0).

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 find the vertex of a parabola given in standard form?

Back

Front

What is the axis of symmetry in a parabola?

Back

Front

What does it mean for a parabola to open upwards?

Back

A parabola opens upwards when the coefficient 'a' in the vertex form is positive, indicating that the arms of the parabola extend upwards.

Front

What does it mean for a parabola to open downwards?

Back

A parabola opens downwards when the coefficient 'a' in the vertex form is negative, indicating that the arms of the parabola extend downwards.

Front

How can you identify the direction a parabola opens from its equation?

Back

Front

What is the formula to find the y-coordinate of the vertex from standard form?

Back