Question

Where would you plot the vertex on the graph of the following absolute value equation? enter your answer as an ordered pair (x,y).
y=|x-5|+10

Answer 1

Answer:

The absolute value vertex is (5, 10). Please check that graph is also attached for the absolute equation with vertex (5, 10).

Step-by-step explanation:

Considering the absolute value equation

$y=|x-5|+10$

To find the  x  coordinate of the vertex, set the inside of the absolute value $x - 5$ equal to zero.

In this case,

                      $x - 5=0$

                             $x=5$

Replace the variable  x  with  5 back into the equation and solve for y.

                         $y=|(5)-5|+10$

                         $y=0+10$

                         $y = 10$

Therefore, the absolute value vertex is (5, 10). Please check that graph is also attached for the absolute equation with vertex (5, 10).

Keywords: absolute value function, vertex

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