Respuesta :

Answer:  Vertex is at (5,10)

Explanation:

The given function is the same as y = 1| x-5 | + 10

Compare this to the form y = a| x-h | + k

The vertex is (h,k) = (5,10)

The value of 'a' determines how vertically stretched the V shape is.

The vertex of the absolute value function f(x) = |x – 5| + 10 is (5,10)

How to determine the vertex?

The function is given as:

f(x) = |x – 5| + 10

The above function is an absolute value function

An absolute value function is represented as:

f(x) = a|x – h| + k

Where, the vertex is (h,k)

So, we have:

(h,k) = (5,10)

Hence, the vertex of the function  f(x) = |x – 5| + 10 is (5,10)

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