Y = - 3x ^ 2 + 12x - 3 is reduced to quadratic function a (x - H) ^ 2 + K

Y = - 3x ^ 2 + 12x - 3 is reduced to quadratic function a (x - H) ^ 2 + K

y=-3x^2+12x-3
= -3(x-2)^2 + 9

The quadratic function y = 3x (x-1) is reduced to a general form

Solution y = 3x (x-1)
=3x^2-3x
That is, the general formula of the quadratic function is y = 3x ^ 2-3x

The minimum value of quadratic function y = x ^ + 6x-2

Y=X^2+6X-2
=X^2+6X+9-9-2
=(X+3)^2-11
Because the quadratic coefficient 1 > 0, the opening is upward
So when x = - 3, the minimum value of the function is - 11

If the image of the quadratic function y = 3x ^ 2 + ax + B passes through the point (2,3), and its vertex is on the line y = 3x-2, find the value of a and B

Substituting the point (2,3) into the functional equation, we can get 3 = 3 * 2 ^ 2 + 2 * a + B [1]. Then we can get the formula of the functional equation, y = 3 (x + A / 2) ^ 2-A ^ 2 / 4 + B, and the vertex is (- A / 2-A ^ 2 / 4 + b). Substituting this point into the linear equation, we can get - A ^ 2 / 4 + B = 3 * (- A / 2) - 2 [2] simultaneous [1] and [2]

When the object starts to move in a straight line with constant acceleration from its rest, the displacement in the second second second is 6 m, then the displacement and acceleration in the first five seconds are 6 m and 6 m respectively

There is Acceleration Formula: 1 / 2at ^ 2 = 6 to get: a = 3
Displacement in 5S: 1 / 2 * 3 * 5 ^ 2 = 75 / 2m

In the international system of units (SI), the main unit of () is meter, and the symbol is ()

In the international system of units (SI), the main unit of (length) is meter, and the symbol is (m)

One end of the spring is fixed on the horizontal plane, and the other end is bolted to the piston with mass M,
A cylinder with a mass of M and a downward opening seal a certain mass of gas together with the piston. Both the cylinder and the piston are good conductors of heat. If the ambient temperature decreases slowly, the piston will be heated____ The cylinder will___ (select "move up", "stay still" and "move down" for both blanks.)

Suppose the area of cylinder bottom is S1, the area of piston bottom is S2 and the mass of piston is m
For a certain mass of closed gas: PV / T = constant
When the temperature T decreases, the gas pressure P will decrease
Due to p * S1

How many kilos is one ton?

One meal is one thousand kilos

An iron ball with a volume of 100cm3 is hung on the spring scale. If the iron ball is immersed in water, the indication of the spring scale is 5N. Find out: (1) buoyancy of the iron ball; (2) gravity of the iron ball; (3) is the iron ball hollow or solid? If it is hollow, what is the volume of the hollow? (known as ρ Fe = 7.9 × 103kg / m3, g = 10N / kg)

(1) Because the metal ball with volume of 100cm3 is completely immersed in water, at this time v matter = V row = 100cm3 = 10-4m3, f float = ρ g, V row = 1.0 × 103kg / m3 × 10N / kg × 10-4m3 = 1n. (2) from F float = G-F pull, g = f float + F pull = 1n + 5N = 6N. (3) volume of iron in iron ball: V iron = m ρ = g ρ g = 6n7.9 × 103K

The relationship between the total number of diagonals D and the number of sides n of a polygon is___ ．

N-polygon has n (n-3) 2 diagonals. The relationship between the total number of diagonals D and the number of sides n is: D = n (n-3) 2