Answered

IDNStudy.com, ang iyong pangunahing mapagkukunan para sa mga sagot ng eksperto. Makakuha ng mga kumpletong sagot sa lahat ng iyong mga tanong mula sa aming network ng mga eksperto.

How do you get the vertex of a quadratic function using differentiation

Sagot :

First you have to identify the values of a, b, and c of the given quadratic equation in the general form:
    ax² + bx + c = 0

vertex is (h, k) 

Where:
  h = -b/2a

  k = 4ac -b²
          4a

h is x coordinate, and k is the y-coordinate of the vertex (h, k).

Note that if the parabola (graph of the quadratic equation) opens downward (inverted U), the vertex is the maximum.  While if the parabola opens upward (U-shaped), the vertex is the minimum. 

To know without graphing if the parabola opens downward, a is negative; opens upward, a is positive.