Find the maximum or minimum value of the quadratic function .
A) The maximum value is .
B) The maximum value is .
C) The minimum value is 7.
D) The minimum value is .
E) The minimum value is .

Question

Find the maximum or minimum value of the quadratic function  .
A) The maximum value is . 
B) The maximum value is . 
C) The minimum value is 7. 
D) The minimum value is . 
E) The minimum value is .

Quizplus · Accepted Answer

To find the maximum or minimum value of a quadratic function in the form of ax^2 + bx + c, we use the formula -b/2a to find the x-coordinate of the vertex (the highest or lowest point of the parabola). Plugging in the values given in the problem, we get x = -(5/2). To find the corresponding y-coordinate (the maximum or minimum value), we plug in this x value into the original equation: 
11ec1b6e_3c60_ec46_bbf8_3b909e74a5f2_TBX8728_11 = 4(-(5/2))^2 + 20(-(5/2)) + 7
Simplifying, we get 11ec1b6e_3c60_ec49_bbf8_bbad64df7b5c_TBX8728_11 as the minimum value. Thus, the answer is D.

Find the Maximum or Minimum Value of the Quadratic Function