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