1. The vertex of a quadratic equation is very easy to calculate once you know what to do. Here, I'm going to walk you through every single step to take to find the vertex of a quadratic equation using any quadratic equation given, and the vertex formula i.e., x=-b/2a
2. Let's assume the quadratic equation given in the question is y= x² + 4x + 16 , then use this general quadratic equation " y = ax2 + bx + c" to check the value of a,b, and c.
3. The values of a, b,and c, from the quadratic equation given are 1, 4, 16, respectively.
4. Simply use the formula x=-b/2a to calculate the value of x in the vertex. x=-b/2a= -4/2= -2.
5. To calculate the y-value of the vertex, plug in the value of x in the quadratic equation given. y=x² + 4x + 16= (-2)² + 4(-2) +16 = 4 - 8 +16= 12, then y= 12.
6. The vertex of the quadratic equation is (-2, 12).
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