Consider the relation y = 4|x + 2| + 7. what are the coordinates of the vertex?

(7, −2)
(2, 7)
(4, −2)
(−2, 7)

To answer, we set the expression inside the absolute value symbol (II) equal to 0. That is,
                           x + 2 = 0
Then, we solve for the value of x.
                           x + 2 - 2 = 0 - 2
Hence, the value of x from the equation above is equal to -2.

Then, substitute the value of x to the equation and drop the absolute value symbol.
                       y = 4(x + 2) + 7
Substituting,
                       y = 4(-2 + 2) + 7
                             y  = 4(0) + 7
                                 y = 7

Thus, the vertex of the absolute value equation is equal to (-2,7). The answer is the last choice.