Question

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

Answer 1

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)

Answer 2

Answer:

hmmmmm

Step-by-step explanation: