Final answer:
The vertex of the equation y = |x - 5| + 4 is (5, 4) and the range is y ≥ 4.
Step-by-step explanation:
The given equation is y = |x - 5| + 4. The vertex of the equation is (5, 4) because the absolute value function reaches its minimum value at the vertex. The range of the equation is y ≥ 4, because the lowest value the function can take is 4.