Question

The shape of the inside of a glass follows a parabola with the function f(x) = x2 + 6x + 9. What point represents the bottom of the inside of theglass?O A (-3,0)0 B (0, -3)C. (0,3)OD. (3,0)

Answer 1

For the function

`f(x)=x^2+6x+9`

To calculate its vertex (x-intersect) you have to do as follws using the formula:

`\begin{gathered} x_v=-(b)/(2a) \\ \text{For} \\ f(x)=ax^2+bx+c \end{gathered}`

For the given function

a=1

b=6

c=9

So

`x_v=-(6)/(2\cdot1)=-(6)/(2)=-3`

The coordinates for the bottom of the inside of the glas, i.e. the x-intersect of the parabola are (-3,0)