Q:

What is the vertex form of f(x)= 5x^2 +20x-16

Accepted Solution

A:
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)