Two quadratic functions are shown.

Function 1:

f (x) = 2x2 - 8x + 1 Function 2:

x | g (x)

-2 | 2

-1 | - 3

0 | 2

1 | 17

Which function has the least minimum value and what are its coordinates?

Function 1 has the least minimum value and its coordinates are (0, 1).

Function 1 has the least minimum value and its coordinates are (2, - 7).

Function 2 has the least minimum value and its coordinates are (0, 2).

Function 2 has the least minimum value and its coordinates are (-1, - 3).

Function 2 has the least minimum value and its coordinates are (-1,-3).

Given the coordinate for Function 2, the quadratic function is f (x) = 5x2 + 10x + 2

To determine the minimum value, the derivative of both functions must be determined and this derivative equated to zero. The value of x is the minimum value. Function 1 has a minimum value of 2 while Function 2 has - 1. Therefore, Function 2 has the least minimum value. To find out the coordinate of this minimum value, the value of x is substituted to Function 2. The value of f (-1) = - 3. So, the coordinates of the least minimum value is (-1, - 3).