Question 996593

 {{{f(x)=2abs(x)+4}}}

1. Set what's between the absolute value bars = {{{0}}}
{{{x = 0}}}

That's the x-coordinate of the vertex.

2. Substitute that in the equation to find the y-coordinate
of the vertex:

{{{f(x)=2abs(0)+4}}}

{{{f(x)=4}}} (Shortcut for this step: the y-coordinate of the vertex is
just the number that's added to the absolute value term, in this
case {{{4}}}, because when you substitute the x-coordinate the
absolute value term will always be {{{0}}}) 

3. The vertex is ({{{0}}},{{{4}}}) 


{{{drawing( 600, 600, -10, 10, -10, 10,
circle(0,4,.12),locate(0.3,4,V(0,4)),
 graph( 600, 600, -10, 10, -10, 10, 2abs(x)+4)) }}}