On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10). Which equation represents the function graphed on the coordinate plane? g(x) = |x – 4| – 10 g(x) = |x + 4| – 10 g(x) = |x – 10| + 4 g(x) = |x + 10| – 4

B) g(x) = |x + 4| – 10

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Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  

          5(-3*x-2)-(x-3)-(-4*(4*x+5)+13)=0  

Step by step solution :

Equation at the end of step  1  :

 ((5•(-3x-2))-(x-3))-((0-4•(4x+5))+13)  = 0  

Pulling out like terms :

2.1     Pull out like factors :

  -3x - 2  =   -1 • (3x + 2)  

Equation at the end of step  3  :

 (-5 • (3x + 2) -  (x - 3)) -  (-16x - 7)  = 0  

Step  3  :

Pulling out like terms :

4.1      Pull out     -16x-7  

After pulling out, we are left with :  

     (-16x-7) • ( 1 +( (-1) ))

  -16x - 7  =   -1 • (16x + 7)  

 0  = 0  

Equations which are always true :

6.1    Solve   0  = 0 This equation is a tautology (Something which is always true)

Equation is alway true

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