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It is known that the line y = 3x-1, the analytical formula of the line after its downward translation of 3 units along the y-axis is
y=3x-4,
Translation down, slope unchanged
But the intercept becomes - 1-3 = - 4
So it's y = 3x-4
It is known that the line y = 3x-1, the analytical formula of the line after its downward translation of 3 units along the y-axis is
y=3x-4.
By translating the line y = 3x + 4 up three units along the y-axis, the analytic expression of the function is ()
It's y-4 = 3x + 4
That is y = 3x + 8
RELATED INFORMATIONS
- 1. 5. Translate the line y = 3x-2 up three units along the Y axis, then the expression of the line is
- 2. In the circle O, the length of the string AB is 6, and its corresponding chord center distance is 4, then the radius OA=______ ．
- 3. As shown in the figure, in the circle O with radius r, the angle AOB is equal to 2a, and OC is perpendicular to ab at point C. find the length of the chord AB and the distance between the chord centers
- 4. As shown in the figure, a, B, C and D are the four points on the circle O, and the verification of AC / / BD, OA ⊥ ob is ad ⊥ BC
- 5. In RT △ ABC, ∠ C = 90 °, ab = 5, BC = 4, find the radius of inscribed circle______ ．
- 6. The radius of two concentric circles, the radius of the big circle, the opposite extension lines of OA and ob intersect the small circle at C and D respectively. It is proved that AB is parallel to CD
- 7. As shown in the figure, in the two concentric circles with o as the center, the chord AB and CD of the big circle are equal, and AB and the small circle are tangent at point E
- 8. As shown in the figure, in the two concentric circles with o as the center, the chord AB and CD of the big circle are equal, and AB and the small circle are tangent at point E
- 9. OA is the radius of circle O, OP is perpendicular to OA, the chord AB intersects op with C, and Pb = PC
- 10. In the circle O, the radius is 4 and the angle AOB is 60 degrees. Point C is the midpoint of arc AB, CM is vertical OA, CN is vertical ob, and the perpendicular feet are points m and N, respectively (1) (2) when point C moves on arc AB, try to judge whether the length of Mn changes and prove your conclusion (1) (2) when point C moves on arc AB, try to judge whether the length of Mn changes and prove your conclusion
- 11. Move the line y = - 3x + 1 downward by 4 units and then to the right by 3 units
- 12. 1. Translate the origin three length units to the left and two length units to the down to get o ', then the coordinate of o' is 2. If the abscissa of the three vertices of △ ABC in the rectangular coordinate system remains unchanged and the ordinate decreases by two length units, it means that △ ABC is translated () units to () 3. Triangle a'b'c 'is obtained by the translation of triangle ABC. If the corresponding point of point a (- 1, - 4) is a' (1, - 1), then the corresponding coordinates of point B '(1,1) and point C are ()
- 13. The line y = 2x is shifted to the left by 3 length units to get the line (related to the function)
- 14. In the complex plane, the point corresponding to the complex z = sin2 + icos2 lies in the second plane______ Quadrant
- 15. Given the complex number Z = (1 + cos @ + (1 - Sin @) I, then the maximum value of Z is? Which requires a clear process
- 16. In the complex plane, rotate the vector corresponding to the complex number 2-radical 5I by 2 / 2 in the counter clockwise direction. What is the modulus of the complex number corresponding to the obtained vector
- 17. Distribution of roots of quadratic equation Find the value range of the real number m so that the two α and β of the equation x ^ 2 + 2 (m-1) x + 2m + 6 = 0 satisfy the following conditions: (1) , are greater than 1 (2) One less than 2, one more than 2 (3) , 0
- 18. If the non-zero complex numbers α and β correspond to a, B and O on the complex plane respectively as the origin, and α ^ 2 - √ 3 α β + β ^ 2 = 0, then the shape of △ AOB is
- 19. Solving the equation (1 + x) ^ 5 = (1-z) ^ 5 about complex Z
- 20. The complex number 1 + 2I is a root of the equation x ^ 2 + BX + C = 0 (B, C belong to R)