How many axes of symmetry of inverse scale function?

Inverse scale function y = 1 / X
Two straight lines y = x or y = - x

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1. Is the image of inverse scale function symmetrical? How many axes are there? Where are they all?
2. What is the symmetry axis of the inverse scale function image
3. Is the inverse scale function an axisymmetric figure y=k/x What if the division values on the coordinate map are different? If x is 1 Y is 10 It's not like it's painted How to answer this question? Is the image with inverse scale function y = K / X axisymmetric? If so, how many axes does it have? Can you write an expression for the axis of symmetry? Please prove that Please have a look at the notes
4. How to prove that the image of inverse scale function is axisymmetric? The more detailed the better, the best with pictures! The more detailed the better, the best with a graph
5. It is proved that the image of inverse scale function is hyperbola The function image of inverse proportion is hyperbola. That's why, why the function image of y = KX is a straight line, and the function image of y = K / X is hyperbola, not to mention that it is connected one by one. I need a reason
6. Judgment: in a circle, there are innumerable diameters, so the circle has innumerable axes of symmetry
7. How to use the knowledge of symmetry axis to make 2 + 3 = 8 a real equation?
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9. How to find the symmetry axis and symmetry center of y = 5sin (2x - π / 3) (need process) with the knowledge of senior one
10. It is known that f (x) is an odd function, the period is a, and the symmetry axis is 4a?
11. What is the equation of the symmetry axis of the image with the function y = SiNx?
12. If the function y = SiNx + √ 3cosx, one axis of symmetry of the image is
13. For the function y = f (x), X ∈ R, "the image of y = | f (x) | is symmetric about the Y axis" is the () A. Sufficient and unnecessary condition B. necessary and insufficient condition C. sufficient and necessary condition D. neither sufficient nor necessary condition
14. What is the function f (x) = loga (x-a) about X-axis symmetry
15. If the image of function y = f (x + 2) passes through the point (- 1,3), then the image of function f (x) must pass through the point with respect to the image of y-axis symmetry A（1,-3） B（-1,3） C（-3,-3） D（-3,3）
16. The function of the image of function y = 2 ^ x with respect to the image of x-axis symmetry is
17. The abscissa of points a and B are a and B (a ＞ 0, B ＞ 0) on the image of the first-order function y = x and y = 8x respectively. If the line AB is the image of the first-order function y = KX + m, when Ba is an integer? Find the value of integer k satisfying the condition
18. If the image of the function f (x) = (x-2a) (x + A ^ 2) is symmetric about the Y axis, then a =?
19. Can the image of a function be symmetric about the X axis The difference between a function and a mapping is that a function requires an independent variable to have only one dependent variable corresponding to it, so can the function image not be symmetrical about the X axis
20. Function image about axisymmetry I'd like to know about the axis symmetry of the function image and how to see it For example, f (x) = 2x ^ 2 + 4 about which axis is symmetric. What about other functions?