As shown in the figure, the image of quadratic function passes through the point a (- 1,0) B (4,0) C (0, - 2) to find the analytic expression of quadratic function, and judge whether the triangle ABC is true or not

As shown in the figure, the image of quadratic function passes through the point a (- 1,0) B (4,0) C (0, - 2) to find the analytic expression of quadratic function, and judge whether the triangle ABC is true or not

Let the analytic formula be y = ax & # 178; + BX + C
a-b+c=0
16a+4b+c=0
c=-2
The solution is a = 1 / 2, B = - 3 / 2, C = - 2
The analytic formula is y = 1 / 2x & # 178; - 3 / 2x-2
∵AC²+BC²=AB²,
The ABC is RT △
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