Translate the parabola y = x ^ - 2 upward by one unit to get a new parabola, then the expression of the new parabola is

Translate the parabola y = x ^ - 2 upward by one unit to get a new parabola, then the expression of the new parabola is

y=x ²- one

Parabola formula Find parabola vertex formula, midline formula

Through the collocation method, the quadratic function y = ax ^ 2 + BX + C (a is not equal to 0) can be transformed into y = a (x + B / 2a) ^ 2 + (4ac-b ^ 2) / 4A
When x = - B / 2a, y gets the maximum value (4ac-b ^ 2) / 4A, so the vertex formula is [- B / 2a, (4ac-b ^ 2) / 4A]
The quadratic function is symmetric about x = - B / 2a, so the center line is - B / 2A

Using area to find parabola analytical formula Known parabola y = x ²- 2mx+m ²- The image vertex of m-2 is C, and there are two different intersections a, B, a (a, 0) B (B, 0) between the image and the X axis, S triangle ABC = 8, find the parabola analytical formula

x*2+4x-32=0
(x+8)(x-4)=0
X = - 8 or x = 4
Because m, n are the roots of the equation and M > N, M = 4, n = - 8
Point a is (4,0), and point B is (0, - 8), which is substituted into the parabolic equation:
4^2+4b+c=0
c=-8
b=-2
The parabolic equation is y = x ^ 2-2x-8
y=(x-1)^2-9
Vertex C is (1, - 9)
The area of triangle ABC is
1/2(1*0*1+(-9)*1*0+4*(-8)*1-1*0*0-(-9)*4*1-(-8)*1*1)=1/2*12=6
The parabolic equation is y = x ^ 2-2x-8
The area of triangle ABC is 6

A mathematical problem about parabola and area It is known that the parabola y = ax ^ 2 + BX + C passes through three points a (- 1,0), B (3,0) and C (2,6), and the intersection with the Y axis is D. the area of this triangle ABC is? The answer is 1 / 2, I calculate it is 12. What a big difference! Seek the process! Sorry, I have the wrong number. It should be the area of △ abd

The parabola passes through a (- 1,0) and B (3,0). Let y = a (x + 1) (x-3) replace (2,6) into y = a (x + 1) (x-3) 6 = a * 3 * (- 1) = > A = - 2. The parabola is the intersection of y = - 2 (x + 1) (x-3) and Y axis. X replaces 0 to get y = 6 = > d (0,6) triangle abd area = 4 * 6 / 2 = 12. The area of triangle ABC = 4 * 6 / 2 = 12. The answer is the same as the landlord's answer

How to calculate the area composed of quadratic equation parabola/

Using calculus

What is biquotient law

Second, the commercial law appears in the form of the company hiring employees. The company and employees are in the relationship of employment and employment, so there will be contradictions. The wages of employees are relatively low, generally between 15% and 30%