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

##### 1 Answer

Aug 29, 2017

#### 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]}