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If y = ax ^ 2 + BX + C satisfies 4a-2b + C, then the parabola must pass through the point It satisfies 4a-2b + C = 2
Satisfy 4a-2b + C = K (k is the number in your question, for example, 4a-2b + C = 8
Let x = - 2, then y = a (- 2) ^ 2 + (- 2) B + C = 4a-2b + C = K
So the parabola must pass the point (- 2, K)
Given that the parabola y = AX2 + BX + C passes through (- 1,2) and (3,2), then the value of 4A + 2B + 3 is______ ．
The object line y = AX2 + bx-4a passes through two points a (- 1,0), C (0,4), intersects with the X axis and another point B. the analytical formula of the parabola and the coordinates of point B are obtained
Substituting a (- 1,0), C (0,4) into
0=a-b-4a
4=-4a
a=-1,b=3
y=-x^2+3x+4=-(x-4)(x+1)
Another intersection B (4,0)
Given that the abscissa of the intersection of the parabola y AX2 + BX + C and X axis is - 2, then 4A + C =?
Substituting (- 2,0) into the equation has 4a-2b + C = 0
4a+c=2b
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