Question

How did they get the vertex i need assistance

Answer 1

Explanation:

The general formula of a quadratic equation is

`a {x}^(2) + bx + c`

while the general formula for finding the vertex is

`a({x - h})^(2) + k`

first of all, you have to set the value of

`x = ( - b)/(2a)`

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)