Choose the equation for the graph

Answer:
D. y = |x + 5| - 2
Step-by-step explanation:
The peak of the graph is formed at the point (2, 5)
that means the function must be such that the value of y is 5 when x is 2.
Checking D option:
y= | x + 5| - 2
5 = | 2 + 5| - 2
5 = 7 - 2
5 = 5
LHS = RHS
this means that the given graph is represented by the equation in option D.
Therefore, it's D
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You'll have to check for all options by placing the values of x and y repetitively in all of them.
There, LHS ≠ RHS.