The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are functions have a vertex with a x-value of 0.
<h3>What is a function?</h3>
A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.
The standard absolute value function is found as;

Where,
(h, k) denotes to the vertex
h is the vertex of the x-coordinate
k is the y-coordinate of the vertex
By comparing the standard equation with the given equation in the options we will get the functions to have a vertex with an x-value of 0;

The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are functions have a vertex with a x-value of 0.
Hence options 1,2 and 4 are functions that have a vertex with an x-value of 0.
To learn more about the function refer to the link;
brainly.com/question/12431044