Question

In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 4x2 + 16x + 1
The vertex is
(Type an ordered pair.)

Answer 1

The vertex is the point at which the parabola or quadratic equation opens up or down. To calculate the parabola, we must use the formula: -b/2a = x; x = -16/2(4) x = -2
Substitute -2 in where you see x appear and do the arithmetic to find that y = -15. Therefore, the vertex coordinates are (-2,-15).