The graph of a certain quadratic is a parabola with vertex (-4, 0) which passes through the point (1, -15). What is the value of a?
The graph of a quadratic can be written as \(y = a(x - h)^2 + k\), and \((h, k)\) is the vertex.
Now, plug in the vertex, to get this: \(y = a(x + 4)^2\)
Now, plug in the point \((1, -15)\) and solve for a.