After you translate the graph, you can think of several different ways to translate the function (2x 1 + 2)?

After you translate the graph, you can think of several different ways to translate the function (2x 1 + 2)?

Because of translation, so
The slope does not change
That is, the equation can be set as
y=2x+b
Another point: (2, - 1)
-1=2×2＋b
b=-5
The equation is y = 2x-5

The image of the function y = 2x + 3 is translated so that it passes through points (2, - 1)

Let the analytic expression after translation be y = 2x + B, and substitute the point (2, - 1) to get - 1 = 4 + B ∥ B = - 5 ∥ then the analytic expression is y = 2x-5

If the image of function y = sin2x is shifted to the right α (α > 0), and the obtained image is just symmetric with respect to the line x = π / 6, then the minimum value of α is?
2 * π / 6-2a = π / 2-k π where does π / 2-k π come from? Isn't it 2 / π + 2K π?

The equation of axis of symmetry of sine function is x = π / 2 + K π (not 2 / π + 2K π, but abscissa of the highest point of sine function). Since K ∈ Z, and Z is a symmetric set about the origin, the sign before K does not matter, so it is correct to write x = π / 2-k π

① 1 / 50 + 2 / 50 + 3 / 50 + +49 out of 50 = () ② 1-100 out of 99 + 100 out of 98-100 out of 97 + 100 out of 96-100
① 1 / 50 + 2 / 50 + 3 / 50 + +49 of 50 = () ② 1-100 99 + 100 98-100 97 + 100 96-100 95 + 100 94 - -1 out of 100 = ()

1/50+2/50+… +49/50
=1/50(1+2+...+49)
=1/50*49*50/2=24.5
1-99/100+98/100-97/100+…… +2/100-1/100
=(1-99/100)+(98/100-97/100)+…… +(2/100-1/100)
=1/100+1/100+...+1/100
=1/100*50=1/2

The simple method requires at least two steps and processes: 1:97 × 96 / 5 = 2:70 × 7 / 1 = 3: (9 / 8 + 4 / 3-3 / 2) × 72
4: 72 × (1 / 2-3 / 1 + 1 / 4) 5: (5 / 9 + 1 / 13) × 9 + 13 / 4 6:30 × (1 / 2-3 / 1 + 1 / 6) 7:7 / 12 × (7 / 6 + 3 / 14) 8:18 / 7 △ 5 + 5 / 1 × 18 / 11?

1: 97 × 5 / 96
=（96+1）*5/96
=5+5/96
=5 and 5 / 96
2: 70 × 1 / 7
= 10
3: (8 / 9 + 3 / 4-2 / 3) × 72
=64+54-48
=70
4: 72 × (1 / 2-1 / 3 + 1 / 4)
=36-24+18
=30
5: (5 / 9 + 1 / 13) × 9 + 4 / 13
=5+9/13+4/13
=5+1
=6
6: 30 × (1 / 2-1 / 3 + 1 / 6)
=15-10+5
=20
7: 12 out of 7 × (7 out of 6 + 14 out of 3)
=2+8
=10
8: 7 / 18 △ 5 + 1 / 5 × 11 / 18
=7/90+11/90
=18/90
=5

1 * 3 / 1 + 3 * 5 / 1 + 5 * 7 / 1 + 1997 * 1999

1/2*[1-1/3+1/3-1/5+1/5-1/7+…… +1/1997-1/1999]
=1/2*(1-11999)
=999/1999

1 / 2 + (1 / 4 + 3 / 4) + (1 / 6 + 3 / 6 + 5 / 6) +... + (1 / 98 + 3 / 98 +... + 97 / 98) =?

1 / 2 + (1 / 4 + 3 / 4) + (1 / 6 + 3 / 6 + 5 / 6) +... + (1 / 98 + 3 / 98 +... + 97 / 98)
=1/2 +1+ （1+1/2）+...+（24 +1/2）
=1+2+..+24+25*1/2
=300+25/2
=312 and 1 / 2

1 / 2 + (1 / 4 + 3 / 4) + (1 / 6 + 3 / 6 + 5 / 6) + +(1 out of 98 + 3 out of 98 +...) +97 out of 98) please

1/2+(1/4+3/4)+(1/6+3/6+5/6)+… +(1/98+3/98+… +97/98) = 1/(2×1)+2/(2×2)+3/(2×3)+...+49/(2×49) = 1/2+2/2+3/2+...+49/2 =(1+2+3+…… +49）/2= (1+49)÷4×49 = 612.5

100＋99－98－97＋96＋95⋯＋4＋3－2－1

100＋99－98－97＋96＋95⋯＋4＋3－2－1
=(100＋99－98－97)＋(96＋95－94－93)＋⋯＋(4＋3－2－1)
=4x(100/4)
=4x25
=100

(1 + 1 / 97) + (2 + 1 / 97 × 2) +. + (97 + 1 / 97 × 97)

(1 + 1 / 97) + (2 + 1 / 97 × 2) +. + (97 + 1 / 97 × 97)
=（1+1/97）×（1+97）×97/2
=（1+1/97）×97×49
=98×49
=4802