The quadratic function f (x) satisfies f (2 + x) = f (2-x). Why does it explain that the axis of symmetry is x = 2

You set the standard form of quadratic function, and then expand the comparison

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1. Given that a quadratic function has f (2 + T) = f (2-T) for any real number T, how to prove that its axis of symmetry is x = 2 Given the function f (x) = X2 (the square of x) + BX + C, for any real number T, f (2 + T) = f (2-T), how to prove that the symmetry axis of this quadratic function is x = 2?
2. The symmetry axis of quadratic function f (x + a) = f (b-X) is x = (a + b) / 2. Please give a detailed explanation,
3. How to calculate the symmetry axis X = - B / 2a of quadratic function
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6. A car travels 156 kilometers three hours before it goes from a to B. according to this calculation, it takes eight hours to go from a to B. how many meters is the distance between a and B
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11. It is known that f (x) is an odd function and satisfies f (x + 1) = (1 + F (x)) / (1-f (x)). It is proved that 4 is a period of F (x)
12. It is known that f (x) is an odd function, the period is a, and the symmetry axis is 4a?
13. How to find the symmetry axis and symmetry center of y = 5sin (2x - π / 3) (need process) with the knowledge of senior one
14. The first chapter of the seventh grade book of Shandong Education Press The knowledge points in the first chapter of the seventh grade volume of Shandong Education Press 2. Organize the wonderful questions 3. Collect historical stories, mathematicians and interesting stories related to the content of this chapter Write 4 Essays (at least 300 words) to talk about harvest, feeling, experience, discovery, thinking, perception, etc
15. How to use the knowledge of symmetry axis to make 2 + 3 = 8 a real equation?
16. Judgment: in a circle, there are innumerable diameters, so the circle has innumerable axes of symmetry
17. 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
18. 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
19. 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
20. What is the symmetry axis of the inverse scale function image