Question

The equation `f(x)=3x^2-24x+8` represents a parabola. What is the vertex of the parabola?

Answer 1

`(4,-40)`

Explanation:

`"the x-coordinate of the vertex for a parabola in "`
`"standard form is"`

`x_(color(red)"vertex")=-b/(2a)`

`f(x)=3x^2-24x+8" is in standard form"`

`"with "a=3,b=-24,c=8`

`rArrx_(color(red)"vertex")=-(-24)/6=4`

`f(4)=3(4)^2-24(4)+8=48-96+8=-40`

`rArrcolor(magenta)"vertex "=(4,-40)`