The distance between the vertex of parabola (6, - 12) and the intersection of x-axis is 4. Find the analytic expression of the function

The distance between the vertex of parabola (6, - 12) and the intersection of x-axis is 4. Find the analytic expression of the function


Because the vertex of the parabola is (6, - 12)
So the axis of symmetry is a straight line x = 6,
Because the distance between the two points of intersection with the X axis is 4
So the intersection points of parabola and X axis are (4,0), (8,0)
Let the parabola be y = a (X-6) ² - 12
Substituting (4,0) into, we get,
4a-12=0,
The solution is a = 3
So the analytic formula is y = 3 (X-6) &# 178; - 12 = 3x & # 178; - 36x + 96



Lele's father weighs four times as much as Lele, 60 kg more than Lele. Do you know how much he weighs (equation or formula) it's OK, don't come
Chasing points+++++++++++


Lele: X, Dad: 4x.4x-1x = 60, x = 20. So, Lele 20, Dad 80



If the distance from the moving point m (x, y) to the point (4,0) is 1 less than the distance from it to the straight line x + 5 = 0, then the trajectory equation of the point m is





How much is it to change equation 1 / 2 (x-1) + 3x = 5 / 2 into the general form of quadratic equation of one variable?
I want the general form of quadratic equation of one variable, don't work it out!


1/[2(x-1)]+3x=5/2
1+3x[2(x-1)]=(5/2)[2(x-1)]
1+6x^2-6x=5x-5
6x^2-11x+6=0



Size and population of the UK


Britain is the first industrialized country in the world. It is a multicultural and open-minded society,



Definition and significance of physical quantity
Definition and significance of velocity, mass, density and pressure


Speed: the displacement of an object in unit time. The physical quantity of how fast an object moves
Mass: the amount of material contained in an object
Density: the mass of an object per unit volume
Pressure: force per unit area. Physical quantity of the effect of force



May 1, 2010 is Sunday, so what day is June 1? How to calculate?


May has 31 days, 7 days a week. 31 divided by 7 leaves 3, so it's Wednesday



To write the area of polygon 300 words


The mathematical "genius" bee hive in animals is a strict hexagonal cylinder with a flat hexagonal opening at one end and a closed hexagonal rhomboid bottom at the other end. It is composed of three identical rhombus. The obtuse angle of the rhombus forming the chassis is 109 degrees 28 minutes, and all the acute angles are 70 degrees 32 minutes. This is both firm and economical



Simple calculation of 7 / 18 - (7 / 18-7 / 25)
1/2+4/7+3/7


7/18-(7/18-7/25)
=7/18-7/18+7/25
=7/25
1/2+4/7+3/7
=1/2+(4/7+3/7)
=1/2+1
=1 and 1 / 2



Come on, mathematician
There are 28 pheasants and sheep in the zoo. There are 80 feet in the zoo. How many pheasants and sheep are there


Suppose there are x chickens and Y goats
x+y=28
2x+4y=80
y=12 x=16
There are 16 pheasants and 12 goats