7.3 Standard Form Quadratics

Front

What is the standard form of a quadratic equation?

Back

Front

What does the coefficient 'a' in a quadratic equation determine?

Back

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

Front

How do you find the y-intercept of a quadratic function?

Back

Front

What is the vertex of a parabola in standard form?

Back

Front

What is the axis of symmetry in a quadratic function?

Back

Front

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

Back

Front

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

Back

Front

What is the formula for finding the roots of a quadratic equation?

Back

Front

What does the vertex represent in a real-world context?

Back

In a real-world context, the vertex of a parabola can represent the maximum or minimum value of a quadratic function, such as the highest point of a projectile's path.

Front

How can you determine if a quadratic function opens upwards or downwards?

Back

You can determine the direction by looking at the coefficient 'a': if 'a' > 0, it opens upwards; if 'a' < 0, it opens downwards.