The line of symmetry for the quadratic equation y = ax 2 - 8x - 3 is x = 2. what is the value of "a"?
a) -2
b) -1
c) 2

1.

the line of symmetry is x=2, means that the x coordinate of the vertex is x=2.

the point x=2 is the midpoint of the roots  and . 

so 



Remark: in the x-axis, if c is the midpoint of a and b, then 

2.
since and are roots 

and

3.
equalizing:







in the left side factorize a, in the left side factorize 8:



in the right side use the difference of squares formula:



simplify by 



substitute  with 4:



a=2

C)2

This is what i found “an explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location). it defines the sequence as a formula in terms of n. this example is an arithmetic sequence(the same number, 5, is added to each term to get to the next term).” i hope this you for what your looking for. can you plz mark me brainliest?