Math All! Write the process!

Solution: (1) The parabola is the same shape as y=-3 (x squared), the opening is opposite a=3, and the vertex is (-2,4).

The analytic formula of the parabola is: y=3[(x+2)squared]+4(2) according to the title: the vertices of the parabola are (3,5).

Let the parabolic analytic formula be: y=a[(x-3)square]+5, and substitut (1,11) to obtain:

a[(1-3) squared]+5=11

a=3 2 parabola analytically is: y=3 2 · [x-3) squared]+5(3) according to the title: the symmetry axis of the parabola is the y-axis, that is, the abscissa of the vertex is 0, and the parabolic analytic formula is: y=a(x-squared)+k

Substituting (2,3) and (-1,6) yields:

4a+k=3

a+k=6 solution: a=-1

k=7 The parabolic analytic formula is: y=-(x squared)+7 [I'm glad you solved the above problems, I hope it will help you in your learning!] 】≤

1) From the parabola and y=-3x 2 have the same shape, the opening direction is opposite: y=ax 2, and the vertex solution is obtained: a=1;

The analytic formula is: y=x 2

2) According to the meaning of the question.

When x=3, the parabola has a minimum value of 5, that is, the parabola opening is upwards a>0, and the vertex coordinates are (3, -5).

b/(2a)=3

4ac-b^2)/(4a)=5

a+b+c=11

a=3/2 ; b=-9 ;c= 37/2y=3/2x^2-9x+37/2

3) The axis of symmetry of the parabola is obtained by the y-axis: b=0 y=ax 2+c is substituted into two points: obtained.

4a+c=3

a+c=6a=-1 c=7

The analytic formula is: y=-x 2+7

[It's not good to draw, write how to draw.] 】

Solution: (1) Extend AB to A1 so that BA1=AB;

Extend BC to B1 so that CB1 = BC;

Extend Cd to C1 so that DC1 = CD;

Extend DA to D1 so that AD1=AD;

Connect A1B1, B1C1, C1D1, D1A1;

2）∵ab=2

AD1=AB=2,AA1=AB+AA1B=4 RT AA1D1 Area=1 2·AD1·AA1=1 2x2X4

4 square centimeters.

In the same way: rt bb1a1 area = rt cb1c1 area = rt dc1d1 area = 4

Quadrilateral a1b1c1d1 area.

Square ABCD area + RT AA1D1 area + RT BB1A1 area + RT CB1C1 area + RT DC1D1 area.

2x2+4+4+4+4

20 square centimeters.

I'm glad to solve the above problems for you, I hope it will help you in your studies! 】≤

Area 20, classmates, you draw it yourself according to the requirements, and you will know the Pythagorean theorem by drawing it. Also a square.

Solution: According to the question: the vertex coordinates of the parabola are (1,5), so the analytic formula of the parabola is: y=a[(x-1) squared]+5 substitute (0,-3) to obtain:

3=a+5a=-8

The parabolic analytic formula is: y=-8[(x-1) squared]+5, i.e.: y=-8(x-squared)+16x-3

Solution:

According to the title, there is a maximum value of 5 when x=1; Yesy= -k（x-1）²+5Again, the figure passes through (0,-3); So-3=-k（0-1）²+5；solution, k = 8;The formula is as follows: y = - 8(x-1) +5

Let the analytical formula of the quadratic function be y=a(x-1) +5 (a<0) when x=0, y=a+5=-3, so a=-8, so y=-8(x-1) +5=-8x +16x-3 is expected to be adopted.

The fixed-point coordinates are (1,5).

Let the analytic formula be y=a(x-1) +5

Substituting (0,-3) yields, 3=a+5 a=-8

The analytical formula is y=-8(x-1) +5

1) It is not the same, as can be seen from the figure, the round-trip distance is equal, it takes 2 hours to go, and it takes an hour to return, so the speed is not the same as Zhuzhou.

2) Since the return function image is a straight line, let y=ax+b. As can be seen from the figure, after (,120) and (5,0) two points, we can get:

120= 0=5a+b。The solution is obtained: a=-48, b=240.

So the expression of the function when it is returned is: y=-48x+240

3) From the above question, it can be seen that when x=4, y=48, so when the car departs from the first place for 4 hours, it is 48km away from the first place

There is no process for the mode, except 30 = 261 divided by 30 =

Arrange from largest to smallest: . Find the median: If it's larger than the median, it's in the upper middle range.

15.Average: positive and short (30*6+

Range: Range = Maximum Modifier Value - Minimum).

16.The difference between the polar nucleus and the minimum value is 5, and the difference between the maximum value and the minimum value given by the question is not 5.

x is the largest, then x-(-1)=5, so x=4;

x is the smallest, then 3-x=5, so x=-2.

15. The average weight of rice = 30 + (

Extreme: 1-(

The vertical belt is suspected to choose C

16. Possibly: surplus hand 1)-1-x=5, x=-62)x-(-1)=5, x=4

3)x-3=5,x=8

4)3-x=5,x=-2

So x could be -6,,4,8, and -2