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
[tex]y=|x-5|+10[/tex]
To find the x coordinate of the vertex, set the inside of the absolute value [tex]x - 5[/tex] equal to zero.
In this case,
[tex]x - 5=0[/tex]
[tex]x=5[/tex]
Replace the variable x with 5 back into the equation and solve for y.
[tex]y=|(5)-5|+10[/tex]
[tex]y=0+10[/tex]
[tex]y = 10[/tex]
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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