Answer:
Vertex of given quadratic function is (-2,-36)
Step-by-step explanation:
Given function
We have to find the vertex of the given function .
The standard quadratic function is represented by ,
Where (h,k) represents the vertex and a ≠ 0.
If a is positive, the graph opens upward, and if a is negative, then it opens downward.
We first write the given equation in standard form ,by using completing square,
We know
First taking 5 common from function, we have,
Comparing we have, a = x and
-2ab= +4x ⇒ -2b = 4 ⇒ b = -2
Add and subtract b , we get,
On simplifying, we have,
We get,
On comapring with standard equtaion , we have h = -2 and k = -36
Thus, vertex of given quadratic function is (-2 ,-36)
