Step-by-step explanation:
The general formula of a quadratic equation is
[tex]a {x}^{2} + bx + c[/tex]
while the general formula for finding the vertex is
[tex]a({x - h})^{2} + k[/tex]
first of all, you have to set the value of
[tex]x = \frac{ - b}{2a} [/tex]
From the given equation, a = 2; b = -12 and c = 13. therefore, x = -(-12)/2(2) = 12/4 = 3
The 3 gotten is the answer for the value of h. To get k, substitute the value of h into the quadratic equation.
k = 2(3)^2 - 12(3) + 13 = -5
Therefore, the Vertex is V(h,k) = V(3,-5)
