Rewrite the equation in vertex form. then find the vertex of the graph. y=-3x^2-5x+1

y = -3(x + )² + , ,

Step-by-step explanation:

First, you need to complete the square:

y   = -3x² - 5x + 1

-1                    -1  

y - 1 = -3x² - 5x

y - 1 = -3(x² +

y - 1 + -3() = -3(x² + + )

           ↑                     ↓            ↑

                                  =

y - 1 - = -3(x + )²

y - - = -3(x + )²

y  - = -3(x + )²

y = -3(x + )² +

Now, it is in the form of y = a(x - h)² + k   where (h, k) is the vertex

Vertex = ,