The area of triangle formed by points of intersection of parabola y=a(x+5)(x−1) with the coordinate axes is 12. find a if it is known that parabola opens upward.

ANSWER



EXPLANATION

The given parabola has equation,



The y-intercept is





This gives one vertex of the triangle to be,



The x-intercept is



This implies







The other two vertices of the triangle is,



The height of this triangle is













Since


it means the parabola opens upwards.

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