DelaniC166656 DelaniC166656
  • 03-11-2022
  • Mathematics
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Consider the relation y = −3|x + 5| − 6. What are the coordinates of the vertex?

Consider the relation y 3x 5 6 What are the coordinates of the vertex class=

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MadasynA226868 MadasynA226868
  • 03-11-2022

Solution:

Given the relation below

[tex]y=-3|x+5|-6[/tex]

The general form, an absolute value function is

[tex]y=a|x-h|+k[/tex]

The vertex coordinates are (h, k)

Solving to find the vertex below

[tex]\begin{gathered} x+5=x-h \\ 5=-h \\ h=-5 \\ k=-6 \\ (h,k)\Rightarrow(-5,-6) \end{gathered}[/tex]

Hence, the coordinates of the vertex is

[tex](-5,-6)[/tex]

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