Write the function to represent the given graph

1. y = -|x - 3| + 4

1. Step-by-step explanation:

NOTES: Observe the coordinates of the vertex (h, k).  Then count the slope (rise over run) from the vertex toward the right.  Then input the values of a, h, & k a into the equation: y = a|x - h| + k

Vertex (h, k) = (3, 4)   → h = 3, k = 4        

slope from vertex toward the right is 1 unit down & 1 unit right → a = -1

y = a|x - h| + k

y = -|x - 3| + 4

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2.

2. Step-by-step explanation:

Vertex (h, k) = (-4, 0)   → h = -4, k = 0        

slope from vertex toward the right is 1 unit up & 2 units right →

y = a|x - h| + k

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3. y = 2|x - 5| - 2

3. Step-by-step explanation:

Vertex (h, k) = (5, -2)    → h = 5, k = -2    

slope from vertex toward the right is 2 units up & 1 unit right → a = 2

y = a|x - h| + k

y = 2|x - 5| - 2

x = 12

y = 15

step-by-step explanation:

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step-by-step explanation: