- #1
cmab
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How to we do the inverse of y=(x-1)^2 ?
Would it be x = sqrt(y) +1 ?
Would it be x = sqrt(y) +1 ?
The inverse of a quadratic function can be found by switching the x and y variables and solving for y. This will result in a new function that represents the inverse of the original quadratic function.
The general form of an inverse quadratic function is y = √(x + a) + b, where a and b are constants. This is also known as the square root function.
No, not all quadratic functions have an inverse. For a quadratic function to have an inverse, it must pass the horizontal line test, meaning that every horizontal line intersects the function at most once.
To graph an inverse quadratic function, we can first graph the original quadratic function and then reflect it over the line y = x. This will give us the graph of the inverse function.
The inverse of a quadratic function is the reflection of the original function over the line y = x. This means that the x and y values of the inverse function are switched, but the overall shape of the function remains the same.