In the equation:
y = 16x² + bx + c
the value of the leading coefficient, a, is equal to 16.
The equation of a parabola in vertex form is:
[tex]y=a(x-h)^2+k[/tex]where (h,k) is the vertex. Substituting with the vertex (0, -5) and a = 16, we get:
[tex]\begin{gathered} y=16(x-0)^2-5 \\ y=16x^2-5 \end{gathered}[/tex]In this equation, the values of b and c are:
b = 0
c = -5