Questions and Answers
What is the first step to find the inverse of a quadratic function y = ax^2?
What is the domain of the inverse function of y = ax^2 if a > 0?
What is the range of the inverse function of y = ax^2 if a < 0?
What is the x-intercept of the graph of f(x) = -x^2?
Signup and view all the answers
What is the equation of the inverse function of y = 2x^2?
Signup and view all the answers
What is a property of the inverse function of y = ax^2?
Signup and view all the answers
What is the purpose of restricting the domain of a quadratic function?
Signup and view all the answers
What is the relationship between the domain and range of a quadratic function and its inverse?
Signup and view all the answers
What is the y-intercept of the graph of the inverse function of y = -x^2?
Signup and view all the answers
What is the equation of the inverse function of y = ax^2 if a < 0?
Signup and view all the answers
What is the restriction on the domain of y = ax^2 if a > 0, in order to make its inverse a function?
Signup and view all the answers
What is a characteristic of the graphs of y = -x^2 and its inverse?
Signup and view all the answers
What is the main purpose of interchanging x and y in the equation y = ax^2 when finding its inverse?
Signup and view all the answers
What is the resulting equation after solving for y in the inverse function of y = ax^2?
Signup and view all the answers
What is the relationship between the domain of the original function of y = ax^2 and the range of its inverse function?
Signup and view all the answers
Why is it necessary to restrict the domain of a quadratic function in some cases?
Signup and view all the answers
What is a characteristic of the graphs of y = -x^2 and its inverse?
Signup and view all the answers
What is the y-intercept of the graph of the inverse function of y = ax^2?
Signup and view all the answers