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It is known that the image of positive scale function y = KX passes through point P (1,2), as shown in the figure. (1) find the analytic expression of the positive scale function; (2) translate the image of the positive scale function to the right four units, and find the analytic expression of the translated straight line
(1) Substituting x = 1, y = 2 into y = KX, we get: 2 = k, then the positive proportion analytic formula is y = 2x; (2) let the analytic formula of the line after translation be y = 2x + B, substituting (4, 0) into: 8 + B = 0, and the solution is b = - 8, then the analytic formula of the line after translation be y = 2x-8
RELATED INFORMATIONS
- 1. If we know that y = KX + K-3 is a positive proportional function, then its analytical expression is
- 2. If Y-2 and X-2 are in positive proportion, then the functional relationship between Y and X is () A. a linear function may also be a positive proportion function B. a positive proportion function c. a linear function
- 3. Among the following functions, the first-order function is (1) y = - 8x (2) y = 5x & # 178; + 6 (3) y = - 8 / X (4) y = - 0.5x-1 (5) y = K & # 178; X + 6 (k is a constant)
- 4. The following functions: ① y = 2x + 3; ② y = 3 (3-x); ③ y = 3x-x2; ④ y = − X3; ⑤ y = 5 A. ①②③④⑤B. ②④C. ①③⑤D. ②④⑤
- 5. The following functions are: 1. Y = - 3x + 4 2. Y = 7 / 5x 3. Y = 1 + 2 / x 4. Y = x & # 178; + 25. Y = X-1 / 2, where is a linear function?
- 6. : when x takes what value, the value of the following function is zero (1) y = - 5 + 3x (2) y = 2x & # 178; - 5x + 3 (3) y = x-3 of X-1 The point is the third question. Because I don't understand. It's better to be clear
- 7. Find the maximum value of the following function y = 2x & # 178; - 3x-5, y = - X & # 178; - 3x + 7 Find the maximum value of the following functions y＝2x²－3x－5 y=-x²－3x＋7
- 8. As shown in the figure, it is known that the image with positive scale function y = 3 / 4x and the image with inverse scale function y = K / X intersect at point a, and make a straight line ab ‖ Y axis through point a, and intersect X axis at point B, OB = 4 , m (m, n) is a moving point on the inverse scale function image, where 0 < n < 4 (1) The expression of inverse proportion function (2) When om = OA, find the value of M + n (3) Make a straight line MC ∥ X axis through point m, intersect Y axis with point C, intersect a straight line AB at point D. when the area of quad OADM is 12, please judge the size relationship between cm and DM, and explain the reason
- 9. The image with known positive scale function y = 1 / 4x passes through point a (2, a) (1) The analytic expression of inverse scale function image passing through point a (2) If any point P in the image of the inverse scale function is taken as the PA ⊥ X axis and Pb ⊥ Y axis, the area of the rectangular OAPB can be calculated
- 10. When x > 1, the value range of Y is 0
- 11. It is known that the positive proportional function y = KX (K ≠ 0) and the y of points (2, - 3) on the function increase or decrease with the increase of X
- 12. The positive proportional function y = KX passes through point a (3, - 4) to find the value of K
- 13. The image of the linear function y = KX + B (K ≠ 0, B ≠ 0) always passes through the point (0,?) And (0,?) Two points, the positive proportion function y = KX (K ≠ 0) always passes through (0,?) And (1,?) Two points
- 14. Is the positive scale function y = KX + b k necessarily greater than zero? If K is less than zero, y decreases with the increase of X Is that still a positive ratio?
- 15. Let y = (K + 2) x + K be the square of - 9=___ It is a positive proportional function passing through two or four quadrants
- 16. How many quadrants must the image of the positive scale function y = (K & # 178; + 1) x (k is a constant, K ≠ 0) pass through
- 17. What are the characteristics of symmetry of inverse scale function image The symmetry of the origin of the y-axis is complete It's too esoteric. I just want to know what quadrant is symmetrical and what quadrant is the point after symmetry``
- 18. Inverse scale function image If the line y = 2x-1 intersects with the Y axis at point a, and then the line is translated upward by one unit, and intersects with the curve y = 2 / X at two points B and C, what is the area of triangle ABC
- 19. Two methods are used to draw the inverse scale function image of y = - 2 / X
- 20. How to solve the area of figure in inverse scale function