Question

What is the range of the function `f(x) = (x - 4)^2 + 4`?

Answer 1

`[4,+oo)`

Explanation:

`f(x)" is in "color(blue)"vertex form"`

`•color(white)(x)y=a(x-h)^2+k`

`"where "(h,k)" are the coordinates of the vertex and a is"`
`"a constant"`

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

`"since "a>0" the parabola is a minimum "uuu`

`rArr"range is "[4,+oo)`
graph{(x-4)^2+4 [-10, 10, -5, 5]}