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The image of a first-order function is shifted 2 units to the right to get a straight line y = - 2x, and through the point a (- 4,2), the expression of the function is obtained, and the area of the figure enclosed by the function image and the coordinate axis is obtained
∵ the image of a linear function is shifted 2 units to the right to get a straight line y = - 2x
Let y = - 2 (X-2) + B
And ∵ over point a (- 4,2)
∴2=-2(-4-2)+b
∴b=-10
∴y=-2(x-2)-10
=-2x-6
Let x = 0 and y = 0 respectively, the two intersections of the solution with X axis and Y axis are (0, - 6), (- 3,0) respectively
Area s = 1 / 2x6x3 = 9
RELATED INFORMATIONS
- 1. The functional expression of the image obtained by translating the image of y = 1 / X one unit to the right is
- 2. The image of a positive scale function passes through a (- 2, 3), and the expression of the function is written
- 3. The image of a positive scale function passes through a (- 2, 3), and the expression of the function is written
- 4. The expression of positive scale function of image passing through (1,2) is______ ．
- 5. How to translate the image of the linear function y = 2x + 4 from the image of the positive scale function y = 2x?
- 6. When the image of positive scale function y = - 2x is shifted 2 units to the right, the analytical expression of the straight line is______ ．
- 7. If the image of the function y = sin2x is shifted to the right by φ (φ > 0) units, and the obtained image is symmetric with respect to x = π 6, then the minimum value of φ is () A. 5 π 12b. 11 π 6C. 11 π 12D. None of the above is true
- 8. If the function y = 2Sin (3x-4 π) image is shifted to the left by 4 π units, the analytic expression of the function is
- 9. For the image of the function y = 2Sin (3x Pai / 3), the analytic expression of the function obtained by moving Pai / 9 to the left and then up one unit is?
- 10. If the image of the function y = 1 + 2Sin (π / 4-3x) is shifted down one unit, the function can be obtained_____ The function can be obtained by making the image symmetrical about X axis______ Then the ordinate of each point on the image is changed to 1 / 2 of the original, the abscissa is changed to 3 times of the original, and the function is obtained_____ Then the function can be obtained by translating the image to the left by π / 4 units______ Image of
- 11. Find the linear function expression (drawing solution) after translating the image of function y = - 2x + 1 to the right by 2 unit lengths It doesn't have to be a drawing step
- 12. The image of positive scale function y = - 2x is shifted one unit length to the left, and the analytic expression of the function is?
- 13. Given that Y-3 is in positive proportion to X and x = 2, y = 7 shifts the function image so that it passes through the point (2, - 1) and finds the analytic expression of the translated line
- 14. Given that y 3 is in direct proportion to x, and x = 1, y = 5, translate the image of the function so that it passes (2, - 1), and find the analytic expression of the line after translation
- 15. If the image of a positive scale function passes through a point (- 1,2), then the image must pass through a point () A. （1，2）B. （-1，-2）C. （2，-1）D. （1，-2）
- 16. After the image translation vector (- π / 6 1 / 2) of the function y = cos 2x, the function y =? A 1/2+cos(2x- π/3) B 1/2+cos(2x+π/3) c cos(2x+π/3)-1/2 D cos(2x+π/6)+1/2
- 17. What is the corresponding function of the new image after the image translation vector a = (π / 4,0) of the function y = cos (2 / 3x + π / 6)
- 18. D (arctanx ^ 2 + e ^ 2x + LNX + radical 3) = let y = x / LNX find y "=
- 19. Given the function f (x) = LNX + X2 - (B + radical 2 / 2) x, 1, if the function y = f (x) is an increasing function on [radical 2, + ∞], find the value range of real number B
- 20. By translating the image of function y = lnx-2 into vector a = (negative 1,2), the image of function y = f (x) is obtained