Question

What is the axis of symmetry for f(x)=32+9x+15 ?

(A)x = -2
(B)x = −23
(C)x = -3
(D) x= −32

Answer 1

The axis of symmetry is

`x=-(3)/(2)`

Explanation:

The given function is
`f(x)=3x^2+9x+15`.

Compare to
`f(x)=ax^2+bx+c`,

`a=3,b=9,c=15`

The axis of symmetry of the parabola is given by the formula;

`x=-(b)/(2a)`

We substitute into the formula to get;

`x=-(9)/(2(3))`

The axis of symmetry is

`x=-(3)/(2)`