Given f(x) = 3|x + 5| + 8, what is the vertex of the graph of f(x)? Algebra Linear Inequalities and Absolute Value Graphs of Absolute Value Equations 1 Answer Alan P. Jun 16, 2017 Vertex: #(x,y)=(-5,8)# Explanation: #f(x)# is linear in except at the point where #abs(x+5)=0# At #x=0#, #color(white)("XXX")y=f(0)=8# Answer link Related questions How do you graph absolute value equations on a coordinate plane? How do you create a table of values for an absolute value equation? How do you know which x values to choose when creating a table of values for an absolute value equation? What is the shape of an absolute value graph? How do you find a vertex by looking at an absolute value equation? How do you graph the equation #y=|x+2|+3#? Which x values do you choose to create a #(x, y)# table for #y=|x+5| #? How do you graph #y=4|x|-2#? Where is the vertex for #y= |x/3-4 |#? How do you graph #f(x)=abs(x-3)+4#? See all questions in Graphs of Absolute Value Equations Impact of this question 2529 views around the world You can reuse this answer Creative Commons License