Known quadratic function y = x ^ 2 + (1-2a) x + A ^ 2 image through the point (- 1,3). Find the value of a, and write the function expression, to complete! There are two values for a

arcsinx-x
3=1-(1-2a) 1
2a=2
a=1
Analytical formula: y = x ^ 2-x + 1

RELATED INFORMATIONS

1. Let F: X → - x ^ 2 be the mapping from real number set M to real number set n. if there is no original image in M for real number P ∈ n, then the value range of P is
2. If the proposition "existence x belongs to R, 2x-3ax + 9 ＜ 0" is a false proposition, how to find the value range of real number a? The answer is - 2 root 2 to 2 root 2
3. The proposition "any x ∈ (0,3), 2x ^ - 3ax + 9"
4. Given the proposition p: "all x belongs to R, the square of x-a is greater than or equal to 0", proposition q: "there exists X 'belongs to R, the square of X'd + 2aX' + 2-A = 0", if proposition p and Q are true, find the value range of real number a
5. Given that P: 1 / 2 ≤ x ≤ 1, Q: (x-a) (x-a-1) ≤ 0, if P is a sufficient and unnecessary condition of Q, then the value range of real number a is Methods ~ this kind of problem is embarrassing
6. Let P: x ^ 2-8x-20 > 0, Q: x > 1 + A or X be known
7. If set a = {x | X-1 ≤ 2} set B = {x | x ＞ a}, and a ∩ B = empty set, find the value range of real number a
8. Let m = {x | - 1 ≤ XA}, and m ∩ n ≠ & # 8709;, the value range of A
9. Given m ∈ R, a ＞ B ＞ 1, f (x) = mxx − 1, try to compare the size of F (a) and f (b)
10. If the real number x, y satisfies x ^ 2 + y ^ 2-2x-14y + 45 = 0, then the maximum value of Y-3 / x + 2 is
11. It is known that M is the equal proportion median of two positive numbers 2 and 8, then the eccentricity of conic x ^ 2 + y ^ 2 / M = 1 is As long as the result (two solutions)
12. Given that m and N are two equations x ^ 2 + 5x + 2 = 0, find the median term of M and n
13. The four real roots of the equation x2 + MX + 16 / 3 x2 + NX + 16 / 3 = 0 form an equal ratio sequence of A1 = 3 / 2 If the four real roots of the equation (X & # 178; + MX + 16 / 3) · (X & # 178; + NX + 16 / 3) = 0 form an equal ratio sequence with the first term of 3 / 2, then | M-N|=_______
14. It is known that the quadratic equation 2x2 + 4x + k-1 = 0 has real roots 1) Find the value of K; (2) When the equation has two non-zero integer roots, the image of the quadratic function y = 2x ^ 2 + 4x + k-1 about X is translated down 8 units, and the analytic expression of the translated function is obtained; (3) Under the condition of (2), the image of the translated quadratic function below the x-axis is folded along the x-axis, and the rest of the image remains unchanged to get a new image. Try to explore whether the new image intersects with the line y = 1 / 2x + B? If there are several intersections?
15. Proof: when m is a real number, at least one of the quadratic equation x2-5x + M = 0 and the equation 2x2 + x-6-m = 0 has a real root
16. If a belongs to a, then (1 / 1-A) belongs to a, and 1 does not belong to a.1). If 2 belongs to a, and a has three elements, find the set a 2) Verification: if a belongs to a, then (1-1 / a) belongs to a
17. It is known that f (x) = asin (π x + α) + bcos (π X - β), where α, β, a and B are non-zero real numbers. If f (2012) = - 1, then f (2013) =? [the answer is 1]
18. A mathematical problem about the linear inequality of one variable? When a supermarket purchases a batch of fruits, the quality loss is 5% in the transportation process, assuming that the supermarket does not include other costs (1) If the supermarket takes 5% of the purchase price as the selling price, please use the calculation to explain whether the supermarket is losing money (2) If the supermarket wants to make at least 20% profit, what is the minimum price increase of this fruit? (the result is accurate to 0.1%) It's a simple inequality
19. A T-shirt is priced at 200 yuan and can sell 500 pieces per month. According to the survey, 50 more T-shirts can be sold for every 3 yuan price reduction. There are 1000-1200 T-shirts at present. If you want to sell them out in a month, how much should you sell?
20. If (M + 1) x | m | + 2 ＞ 0 is a linear inequality with respect to x, then the value of M is________ ．