In the plane rectangular coordinate system, it is necessary for the line y = 2x to move 3 units to the left

There's no need to remember that. There's a rule
"Left plus right minus" fits most of the similar rules
Move 3 units to the left, then you only need (x + 3) abscissa + 3 to be OK. It may be more convenient to remember the form directly like this

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1. 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
2. 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
3. Given the radius of ⊙ o OA = 5, the chord center distance OC of chord AB = 3, then AB = () A. 4B. 6C. 8D. 10
4. 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
5. 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.
6. 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
7. 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
8. If the side length of equilateral △ ABC is 3cm, the radius of its inscribed circle is
9. 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
10. As shown in the figure, BD is the diameter of ⊙ o, OA ⊥ ob, M is the point on the inferior arc AB, through point m as the tangent of ⊙ o, the extension line of OA at point P, MD and OA at point n. (1) verification: PM = PN; (2) if BD = 4, PA = 32ao, through point B as BC ∥ MP intersection ⊙ o at point C, the length of BC
11. 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
12. The analytic expression of the straight line y = - 3x + 1 is obtained by moving up one unit, and then moving right three units
13. 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______ ．
14. 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
15. 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___
16. 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?
17. The analytical expression of the straight line obtained by translating the straight line y = - 2x upward by 2 units is______ ．
18. 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
19. In the plane rectangular coordinate system, after translating the line y = - 2x + 3 downward by 2 units, its analytical formula is
20. In the plane rectangular coordinate system, after translating the line y = - 2x + 1 down four unit lengths, the analytical expression of the line is______ ．