Given that the line y = 3x + 1, translate the line up two units along the y-axis, and then to the right three units, and find the analytical expression of the line after two times of translation

Add and subtract the left and right translation in the independent variable x (remember to add brackets)
Up and down translation is the addition and subtraction of the constant term
All follow the principle of left plus right minus, top plus bottom minus
That is y = 3 (x-3) + 1 + 2
=3x-9+3
=3x-6

RELATED INFORMATIONS

1. In the plane rectangular coordinate system, it is necessary for the line y = 2x to move 3 units to the left
2. In the plane rectangular coordinate system, e. f starts from point O, and moves along the positive direction of x-axis at the speed of 1 unit / s, while f moves along the positive direction of y-axis at the speed of 2 units / s, and does not (4,2) make a circle with be as the diameter (1) If e and f start at the same time, let EF and ab compare with G, which is to judge the position relationship between G and circle, and prove that (2) Under the condition of (1), when FB is connected, B is tangent to the circle for a few seconds
3. In the circle O, M is the middle point of the chord AB, passing through the point B as the tangent of the circle O, and intersecting with the extension line of OM at the point C. proof 1: angle a = angle C. If OA = 5, OB = 8, find OC
4. Given the radius of ⊙ o OA = 5, the chord center distance OC of chord AB = 3, then AB = () A. 4B. 6C. 8D. 10
5. OC in circle O is perpendicular to ab AB = 16 sinaoc = 3 / 5 calculate radius OA of circle O and chord center distance OC calculate cosaoc tanaoc
6. The diameter of the circle O of BD, OA perpendicular to ob, M is a point on the inferior arc AB, the tangent MP of the circle O crosses through point m, the extension line of OA intersects at point P, and the intersection of MD and OA intersects at point n 1. Verify PM = PN. 2. If BD = 4, PA = two-thirds Ao, make BC ∥ MP through point B, intersect circle O at point C, and find the length of BC.
7. As shown in the figure, it is known that in RT △ ABC, the radius of the inscribed circle is 3cm and the radius of the circumscribed circle is 12.5cm, so the three sides of △ ABC can be calculated
8. As shown in the figure, circle O is the inscribed circle of triangle ABC, and the tangent points are D, e, F. the known angles BCA = 90 degrees, ad = 5cm, DB = 3cm. Find the area of triangle ABC D is on AB, e is on BC, f is on AC
9. If the side length of equilateral △ ABC is 3cm, the radius of its inscribed circle is
10. As shown in the figure, the radius of the inscribed circle of RT △ ABC is 1 cm, and the hypotenuse is tangent to the circle O at point D. given AB = 5, find the length of AD and AC
11. The analytic expression of the straight line y = - 3x + 1 is obtained by moving up one unit, and then moving right three units
12. The analytical expression of the straight line y = 3x + 1 is obtained by translating 2 units to the right and 3 units to the down______ ．
13. First, the point P (- 2,1) is translated one length unit to the left, and then two length units to the up to get the point P, then the coordinate of P is
14. In a plane rectangular coordinate system, given points a (- 4,0), B (0,2), now translate line AB to the right, so that a coincides with coordinate 0, then the coordinate of B after translation is___
15. In the plane rectangular coordinate system, given the points a (4,5) and B (4,1), translate the line AB to the right by 5 length units (1) Try to find the area swept by line ab (2) Change the line AB to the broken line ACB, the coordinates of points a and B remain unchanged, C is (2,2), and try to find the area swept by the broken line (3) If the coordinates of points a and B remain unchanged and the coordinates of point C are changed to (1,3), does the area swept by the broken line change? (4) If the coordinates of points a and B remain unchanged and the broken line ACB is changed into a curve, does the area swept by the curve change?
16. The analytical expression of the straight line obtained by translating the straight line y = - 2x upward by 2 units is______ ．
17. In the plane rectangular coordinate system, after translating the line y = 2x-1 upward by 4 length units, what is the analytical formula of the line
18. In the plane rectangular coordinate system, after translating the line y = - 2x + 3 downward by 2 units, its analytical formula is
19. In the plane rectangular coordinate system, after translating the line y = - 2x + 1 down four unit lengths, the analytical expression of the line is______ ．
20. Change the following complex numbers to polar formula 2 (COS π / 4 + isin π / 4) 2 (COS 2 π / 3 + isin 2 π / 3) / 8 (COS π / 4-isin π / 4)