Episode 19 — Inverse Graphs

Quadratic function and its Inverse

Learners will be able to:

• Identify the graph of a quadratic function as a parabola and describe its characteristics. • Calculate the equation of the inverse of a quadratic function algebraically by swapping x and y in the formula. • Sketch the graph of an inverse quadratic function using symmetry about the line y = x. • Determine the restricted domain of a quadratic function that leads to a restricted range for the inverse function. • Identify the characteristics of the inverse of a quadratic function, including its domain and range. • Apply the concept of restricting the domain of a quadratic function to determine the equation of its inverse.