The vertex of the function f(x)=|x-h|is (-6,0)

Answer 1

since f(x) is an absolute value function, it is always non-negative. It's V shaped, with the vertex or minimum point at (-6,0) so f(-6)=0 = the absolute value of x-h or x+6, h=6.

the x-intercept is x=-6 and the y-intercept is y=6.

Graph it and it's a straight upward sloping 45 degree line starting at (-6,0) and a 135 degree straight line for x<-6