Question

What is the vertex form of # f(x) = -5x^2-2x+9 #?

Answer 1

Vertex is `(-0.2 , 9.2)` and vertex form of equation is `f(x) = -5(x+0.2)^2+9.2`

Explanation:

`f(x) = -5x^2-2x+9 or f(x) = -5(x^2+0.4x)+9` or

`f(x) = -5(x^2+0.4x+(0.2)^2)+5*0.04+9` or

`f(x) = -5(x+0.2)^2+9.2`. Vertex is `(-0.2 , 9.2)` and

vertex form of equation is `f(x) = -5(x+0.2)^2+9.2` [Ans]