What is the a-value of the function, then determine if the graph opening up or down f(x)=−5(x+7)2+6?Question 4 options:a = -5, opens downa = -5, opens upa = 7, opens upa = 7, opens down

we know that
the equation of the vertical parabola in the vertex form is
y=a(x-h)²+k
where 
(h,k) is the vertex of the parabola
if a> 0 then
 the parabola opens upwards

if a< 0
then the parabola open downwards

in this problem  we have
f(x)=−5(x+7)²+6
a=-5
so
a< 0 -------> the parabola open downwards

the vertex is the point (-7,6) is a maximum

the answer is the option
a = -5, opens down 

see the attached figure