Final answer:
The equation y=|x-24|-16 represents an absolute value function, and the vertex is at the point (24, -16), found by setting the expression within the absolute value to zero and solving for y.
Step-by-step explanation:
The equation given is y=|x-24|-16, which is an absolute value function. To find the coordinate of the vertex of this function, we need to look at the expression inside the absolute value. The vertex of an absolute value function is at the point where the expression inside the absolute value is equal to zero. In this case, the vertex occurs when x-24 equals 0, which happens when x is 24. Therefore, the x-coordinate of the vertex is 24. To find the y-coordinate of the vertex, we plug this value back into the equation to get y=|(24)-24|-16, which simplifies to y=-16. Hence, the coordinate of the vertex is (24, -16).
The equation y = |x - 24| - 16 represents a absolute value function. The vertex of an absolute value function in the form y = |x - h| + k is given by the coordinates (h, k). In this case, the equation is y = |x - 24| - 16, so the vertex is located at the point (24, -16).