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

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)

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step-by-step explanation: