Standard form of 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

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on the direction it opens.

Front

How do you find the x-coordinate of the vertex in a quadratic equation?

Back

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What is the y-intercept of a quadratic function?

Back

Front

How do you determine the increasing and decreasing intervals of a quadratic function?

Back

The 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 discriminant in a quadratic equation?

Back

Front

What is the formula for the quadratic formula?

Back

Front

What does it mean for a quadratic function to have a maximum or minimum value?

Back

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