Respuesta :

when it comes to this "vertex form" type of expressions, the cheap way to get the vertex is, set the grouped terms to 0, namely

x - 5 = 0
x = 5

well, if we set x = 5, x - 5, turns to 0, and that happens when x  = 5, therefore, the vertex is

| x - 5 | + 10

| (5) - 5 |  (+ 10)              is at ( 5 , 10 )
MrRoyal

The vertex of an absolute function is the highest or lowest point of the function. The vertex of the given equation is: (5,10)

Given that:

[tex]f(x) = |x - 5|+ 10[/tex]

If an absolute function is represented as:

[tex]f(x) = a|x - h|+ k[/tex]

The vertex of the function is:

[tex]Vertex = (h,k)[/tex]

By comparing [tex]f(x) = a|x - h|+ k[/tex] and [tex]f(x) = |x - 5|+ 10[/tex]

[tex]h = 5[/tex]

[tex]k =10[/tex]

So, the vertex is:

[tex]Vertex = (5,10)[/tex]

Read more about vertices at:

https://brainly.com/question/13210756

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