Question

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

Answer 1

Answer:

The axis of symmetry is

$x=-\frac{3}{2}$

Step-by-step 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;

$x=-\frac{b}{2a}$

We substitute into the formula to get;

$x=-\frac{9}{2(3)}$

The axis of symmetry is

$x=-\frac{3}{2}$