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Bond [772]
2 years ago
15

What is the vertex of the graph of f(x) = |x – 13| + 11?

Mathematics
2 answers:
dybincka [34]2 years ago
8 0

Answer:

The vertex of the graph of f(x) = |x - 13| + 11 is (13, 11).

Step-by-step explanation:

There is something called absolute value in the given function. It means two equations will result from it.

When (x -13) > 0 the resultant equation is

y = f(x) = x - 13 + 11 = x - 2 - This will be the first equation

or  

When (x - 13) < 0 the resultant equation is

y = f(x) = -(x - 13) + 11 = -x + 24 - This will be the second equation.

The intersection of these lines will give the vertex as found by solving both equations at the same time.  

y = x - 2

y = -x + 24

_________

2y = 0 + 22

y =  \frac{22}{2} = 11

Replacing the value of y for any one;

x = 11 + 2 = 13 (first one)

x = 24 - 11 = 13 (second one)

The vertex is (13, 11)

Alinara [238K]2 years ago
6 0

Answer:

hmmmmm

Step-by-step explanation:

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