As shown in the figure, the parabola y = ax ^ 2 + BX + C and an intersection a of the X axis are at the same point（

As shown in the figure, the parabola y = ax ^ 2 + BX + C and an intersection a of the X axis are at the same point（

As shown in the figure, the intersection point a of the parabola y = ax ^ 2 + BX + C and X axis is between the points (- 2,0) and (- 1,0) (including the two points), and the vertex C is a moving point on the rectangular defg (including the boundary and interior), then the value range of a is - 0.75 ≤ a ≤ - 0.08, because the coordinates of the parabola vertex are (...)

Given that the abscissa of the intersection of the parabola y = AX2 + X + C and X axis is - 1, then a + C=______ ．

∵ the abscissa of the intersection of the parabola y = AX2 + X + C and X axis is - 1, ∵ the parabola y = AX2 + X + C passes through (- 1, 0), ∵ A-1 + C = 0, ∵ a + C = 1, so the answer is 1

The coordinates of the intersection of the parabola y = x2-6x-16 and the X axis are______ ．

Let y = 0, we get the equation, x2-6x-16 = 0, ∧ (x + 2) (X-8) = 0, we get the solution of x = - 2 or 8, ∧ the coordinates of the intersection of parabolic y = x2-6x-16 and X axis are: (- 2, 0), (8, 0); so the answer is: (- 2, 0), (8, 0)

The vertex coordinates of the parabola image are (- 1, - 1), and the ordinate of the intersection with the Y axis is - 3

The vertex coordinates of parabola are (- 1, - 1)
Let the analytic formula of parabola be y = a (x + 1) ² - 1
The ordinate of the intersection point with y axis is - 3, and the parabola passes through the point (0, - 3)
-3=a（0+1）²-1
-3=a-1
a=-2
y=-2（x+3）²-1
That is y = - 2x & # 178; - 12x-19