# What is the vertex form of # f(x) = -5x^2-2x-3 #?

##### 1 Answer

The vertex form

#### Explanation:

From the given

we can factor out the -5 from the first two terms excluding the third term -3

Add and subtract the value 1/25 inside the grouping symbol. This is obtained from 2/5. Divide 2/5 by 2 then square it. The result is 1/25. So

now regroup so that there is a Perfect Square Trinomial

simplify

The vertex form

graph{y=-5x^2-2x-3[-10,10,-10,5]}

God bless...I hope the explanation is useful