how do you find the coordinates to the vertex of y=/x-14/+9
using the formula y=a/x-h/+k
To find the coordinates of the vertex of a quadratic function in the form y = a(x - h)^2 + k, you can use the formula h = -b/2a to identify the x-coordinate (h) of the vertex. Then, substitute that value back into the equation to find the y-coordinate.
However, the given function y = |x - 14| + 9 is not in the form of y = a(x - h)^2 + k (which represents a quadratic function), but rather it is an absolute value function.
The vertex of an absolute value function y = |x - h| + k is located at the point (h, k). So, in this case, the x-coordinate (h) of the vertex is simply the value that is inside the absolute value function (x - 14), and the y-coordinate (k) is the constant term added to the absolute value function (+9).
Therefore, the coordinates of the vertex are (14, 9).