Answer:
(-2, 3)
Explanation:
The vertex of an absolute value function is when the part of the equation that is inside absolute value signs is equal to 0:
In the equation: y = |x + 2| + 3,
x + 2 = 0 ==> x + 2 is the part that is inside the absolute value signs
x = -2 ==> subtract 2 on both sides
Now, plugin -2 into the equation y = |x + 2| + 3:
y = |(-2) + 2| + 3
y = |0| + 3
y = 0 + 3 ==> the absolute value of 0 is 0.
y = 3
Now with the x and y-coordinates, we can figure out the vertex point:
Answer: (-2, 3)