compare the function with the parent function. without graphing, what are the vertex, axis of symmetry, and transformations of the given function?
y = |10x-2|-7.

Question

compare the function with the parent function. without graphing, what are the vertex, axis of symmetry, and transformations of the given function? 
y = |10x-2|-7.

mathmale · Answer

Your function includes the absolute valule function y=| x |, plus a vertical offset.

Please graph y=|x| now, to get an idea of its basic shape.

Next, think of what happens to the graph if you modify that function to get y = |x-1|.  Graph that.

Next, looking at your function, y = |10x-2|-7., find a way to simplify the quantity within the absolute value symbols.     y = (?) | ? | - 7