Answer:
The value of a is 2
Step-by-step explanation:
The quadratic equation is \(y=ax^2-8x-3\)
The line of symmetry is x =2.
We know that the graph of quadratic function is a parabola and the line of symmetry of a parabola always passes through the vertex.
The line of symmetry is x =2.
And the x-coordinate of the vertex is \(-\frac{b}{2a}\)
Hence, we have
\(2=-\frac{-8}{2a}\\\\4a=8\\\\a=2\)
Thus, the value of a is 2
