Which absolute value function defines this graph?

a. f(x) = -4|x + 2| + 3

b. f(x) = 4|x + 2| + 3

c. f(x) = -4|x − 2| − 3

d. f(x) = 4|x + 2| − 3

A. f(x) = -4|x + 2| + 3

Step-by-step explanation:

An absolute value graph is a v-shaped graph whose equation has the form y = a| x - h| + k where (h,k) is the vertex. On the graph the vertex is (-2,3). This means its equation is y = a| x --2| + 3. It simplifies to y = a|x+2|+3. To find a, look at the answer options. Each option has 4 or -4. Since the graph faces downward, it has a negative leading coefficient of a = -4. The equation is y = -4|x+2|+3

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