Which of the functions y = f (x-a), y = f (x + a) and f (a + x) = f (A-X) is a necessary and sufficient condition for the image to be symmetric with respect to the straight line x = a, or are they both correct

Which of the functions y = f (x-a), y = f (x + a) and f (a + x) = f (A-X) is a necessary and sufficient condition for the image to be symmetric with respect to the straight line x = a, or are they both correct

F (a + x) = f (A-X) correct
Y = f (x-a) and y = f (x + a) can only get the function period of 2A

The true proposition is known: "the image of function y = f (x) is centrosymmetric with respect to point P (a, b)"
If and only if the function y = f (x + a) - B is odd, the coordinates of the center of symmetry of the image with the function H (x) = log2 [4x / (4-x)] can be obtained?

The symmetry center of this question is marked as P (2,2). The detailed explanation will be attached later
The detailed explanation is similar to the answer downstairs, but the data of this question is slightly changed, so the final result is slightly different

In the acute triangle ABC, ad and AE are the edges of BC and AC respectively. The area of triangle ABC and triangle CDE are 9 and 1, de = 2. Calculate the distance from C to ab
We need to prove it with similarity

∵∠CDA=∠CEB=90°,∠C=∠C
∴△CDA∽△CEB ∴CD/CA =CE/CB
And ∵ ∠ C = ∠ C
{△ CDE ∽ cab (edge, corner, edge)
The areas of ∵ ABC and ∵ CDE are 9 and 1, respectively
∴ED/AB=1/3
The distance from C to De is 1
The distance between C and ab = 3

To find the greatest common divisor or the least common multiple depends on the question. If you get it right, I'll give you all the points, though not much
1. Three sections of rope are 16 meters, 18 meters and 14 meters long respectively. Now they are cut into small sections of the same length, and there is no surplus. How many meters is the maximum length of each section?
2. A box of sugar, 4 pieces, 4 pieces, 6 pieces, 6 pieces, 7 pieces, 7 pieces, 7 pieces, the result is more than one, how many are there in this box of sugar?
3. Daguanxincun is the starting point of No.3 and No.58 buses. No.3 buses leave every 10 minutes and No.58 buses leave every 15 minutes. After the two buses leave at the same time, how many minutes will they leave at the same time?
4. A kind of floor tile is 75 cm long and 45 cm wide. How many tiles can be used to make a square? If you want to make a 15 m long and 10 m wide rectangular meeting room with this kind of brick, how many floor tiles do you need at least?

1. The three ropes are 16 meters, 18 meters and 14 meters long respectively. Now cut them into small pieces of the same length, and there is no surplus. How long is the longest of each piece? The maximum common divisor of 16, 18 and 14 is 2. The result is 22. One box of sugar, four pieces of land, six pieces of land, seven pieces of land, the result is one more. How many are there in this box? The maximum common divisor of 4, 6 and 7

What is the ratio of the circumference of similar triangles

Equal to the ratio of the corresponding variable length
The area ratio is equal to the square of the similarity ratio

If the greatest common factor of two numbers is 16 and the least common multiple is 480, and the difference between the two numbers is 16, what are the two numbers?

Because 480 = 16 × 30, it can be seen that the product of quotient obtained by two numbers △ 16 is equal to 30; and 30 = 2 × 15 = 3 × 10 = 5 × 6, so these two numbers are: 5 × 16 = 80 and 6 × 16 = 96; answer: these two numbers are 80 and 96

Given that the line L1 passing through points a (- 2, m) and B (m, 4) is parallel to line L2, and the slope of line L2 is - 2, then the value of real number m is -___ .
To analyze Oh!

Using the slope formula
The slope of line AB (i.e. L1) is (M-4) / (- 2-m)
∵ L1 is parallel to L2
∴ (m-4)/(-2-m)=-2
∴ m-4=4+2m
∴ m=-8

Bike plural dictionary plural story plural apple tree noun plural

bikes
dictionaries
stories
apple trees

Vertex coordinates of parabola y = x2 + 2x-2
A（1,3）B(1,0)C(-1,3)D(1,-2)

y=x²+2x-2
=x²+2x+1-1-2
=(x+1)²-3
The vertex coordinates (- 1, - 3)
No correct option!

If 2n power of x = 3N power of 5x = 6, then 5N power of X

The power of 5N of X
=2n + 3N power of X
=The 2nth power of X multiplied by the 3nth power of X
=30