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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