The parabola y = - x2 + 6x-1 is translated 2 units to the left, and then 3 units to the up, and the function image expression after translation is obtained

The parabola y = - x2 + 6x-1 is translated 2 units to the left, and then 3 units to the up, and the function image expression after translation is obtained


Shift 2 units to the left, replace x with x + 2, and shift 3 units up, replace y with Y-3
=> y-3 =-(x+2)^2 +6(x+2) -1 =x^2+10x+15
=> y=x^2+10x+18



What is the weight of C45 per cubic meter of concrete?


Generally: c15:2390 c20-c30:2400 c35:2410 c40:2420 c45:2450



A math problem in grade two of junior high school (multiplication formula unit)
x+1/x=4
Find: (1) x ^ 2 + 1 / x ^ 2
(2)(x-1/x)^2


x^2+1/x^2 =(x+1/x)^2 -2*x*1/x=4^2-2=14
(x-1/x)^2=x^2+1/x^2-2*x*1/x=14-2=12



If the vertex of the parabola y = - 3 (X-2) ² + 2 + k is on the X axis, then K=


The vertex coordinates of the parabola are (2,2 + k)
∵ the vertex is on the X axis
∴2+k=0
k=-2



It is known that the total mass of an empty cup filled with water is 500g, and then a block is put in. After overflowing the water, the total mass of the cup, water and block is 800g. After taking the block away, the total mass of the remaining water and cup is 200g
Ask for:
(1) The mass of this block
(2) The density of this block
Calculation process is required


Let the mass of the block be m, the density be p, and the mass of the cup be M0. At first, the mass of the water filled in the cup is M1, and the density of the water be pwater = 1g / cm3. The equation is: M0 + M1 = 500 (1) M0 + m + M1 - (M / P) * pwater = 800 (2) M0 + M1 - (M / P) * pwater = 200 (3)



11,101,1001,()


Isn't that one more than 0 in the middle



If the parabola y = - 1 / 2 (X-2) ^ 2-1 is known, then its parabola symmetric about x-axis is y-axis, and its parabola symmetric about origin is y-axis
The parabola rotated 180 ° around the vertex is


Given the parabola y = - 1 / 2 (X-2) ^ 2-1,
Then its parabola about X axis symmetry is y = 1 / 2 (X-2) ^ 2 + 1
The parabola of y-axis symmetry is y = - 1 / 2 (x + 2) ^ 2-1
The parabola symmetric about the origin is y = 1 / 2 (x + 2) ^ 2 + 1
The parabola is y = 1 / 2 (X-2) ^ 2-1 after 180 ° rotation



Cylinder height 65 cm diameter 40 cm volume


20 * 20 * 3.14 * 65 = 81640 CC



(-56)*(-32)+(-44)*(-32)=?


(-56)*(-32)+(-44)*(-32)=(-32)*(-56-44)=(-32)*(-100)=3200



We know that a and B are constants, and a ≠ 0, f (x) = - ax + B + axlnx, f (E) = 2 (E = 2.71828 Is the base of natural logarithm
(1) Find the value of real number B; f (E) = - A * e + B + A * lne
= a(1-e) +b =2
∴ b= 2+a(e-1)


Wrong solution, you lose one of X, f (E) = - A * e + B + A * e * LN, e = b = 2