Choose the equation for the graph

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

You'll have to check for all options by placing the values of x and y repetitively in all of them.

There, LHS ≠ RHS.

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