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.)

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).

The midpoint is (2.5,4.5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

(4+1)/2 = 5/2 = 2.5

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

(6+3)/2 = 9/2 = 4.5

The midpoint is (2.5,4.5)