Question
what are the horizontal transformations of y=4(1/x-5)-6
Answers
Answered by
GPT 3.5
The horizontal transformation of the function y=4(1/x-5)-6 can be determined by examining the equation of the function.
The equation of the function is in the form y=a(f(x-h))+k, where a, h, and k are constants.
In this case, h is the horizontal shift. The horizontal shift can be found by setting the argument of the function, f(x), equal to zero and solving for x.
So, by setting 1/x-5=0 and solving for x, we get x=5.
Therefore, the horizontal shift is 5 units to the right.
In summary, the function y=4(1/x-5)-6 has a horizontal shift of 5 units to the right.
The equation of the function is in the form y=a(f(x-h))+k, where a, h, and k are constants.
In this case, h is the horizontal shift. The horizontal shift can be found by setting the argument of the function, f(x), equal to zero and solving for x.
So, by setting 1/x-5=0 and solving for x, we get x=5.
Therefore, the horizontal shift is 5 units to the right.
In summary, the function y=4(1/x-5)-6 has a horizontal shift of 5 units to the right.