Quadratic Functions

Learning Objectives

• Graph a quadratic equation.

• Find the coordinates of the vertex of the parabola described by a quadratic equation.

• Understand the significance of the sign of the leading term in a quadratic expression.

• Find the average rate of change (i.e. slope of the secant line) for a quadratic function over a given interval, and interpret its meaning.

• Identify intervals where a quadratic function is increasing or decreasing, and identify a quadratic function's maximum or minimum value.

• Write a formula for a quadratic function that satisfies given characteristics.

• Use quadratic functions in applied problems.