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<u><em>Answer:</em></u>a = -5, opens down
<u><em>Explanation:</em></u><u>The general form of the quadratic equation is:</u>
f(x) = a(x-h)</span>²<span> + k where (h,k) is the vertex of the parabola.
<u>The value of the "a" determines whether the parabola is open upwards or downwards:</u>
1- if the value of "a" is positive, this means that parabola opens upwards
2- if the value of "a" is negative, this means that the parabola opens downwards
<u>Now, for the given:</u>f(x) = -5(x+7)</span>²<span> + 6
<u>By comparison, we can note that:</u>
a = -5
The value of "a" is <u>negative</u> which means that the parabola opens down.
The attached image shows the graph of the given function
Hope this helps :)</span>