Honors - Writing and Graphing Quadratics

Front

What is the vertex form of a quadratic equation?

Back

Front

How do you identify the vertex of a parabola from its vertex form?

Back

Front

What is the standard form of a quadratic equation?

Back

Front

How do you convert from vertex form to standard form?

Back

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 (narrower if |a| > 1, wider if |a| < 1).

Front

What is the root form of a quadratic equation?

Back

Front

How do you find the roots of a quadratic equation in standard form?

Back

Front

What is the significance of the discriminant in a quadratic equation?

Back

Front

How do you factor a quadratic expression like 6x^2 - 27x?

Back

To factor 6x^2 - 27x, factor out the greatest common factor: 3x(2x - 9).

Front

What does a vertical stretch by a factor of 5 mean for a quadratic function?

Back

A vertical stretch by a factor of 5 means that the 'a' value in the vertex form is 5, making the parabola narrower.