Question

Find the equation of the axis of symmetry for this function. f(x) = 5x2 - 6x + 12

Answer 1

For the function given as;

`f(x)=5x^2-6x+12`

The axis of symmetry is the straight line that divides the parabola into 2 equal halves.

`\begin{gathered} The\text{ x vertex is given as;} \\ x_{\text{vertex}}=-(b)/(2a) \\ In\text{ the equation,} \\ 5x^2-6x+12 \\ a=5,b=-6,c=12 \\ x_{\text{vertex}}=-(-6)/(2(5)) \\ x_{\text{vertex}}=(6)/(10) \\ x_{\text{vertex}}=(3)/(5)\text{ (thats }(6)/(10)\text{ in its simplest form)} \end{gathered}`