Find turing point from the x intercept form
y=20/7(x-0)(x-13)
To find the turing point from the given equation in x-intercept form y=a(x-p)(x-q), we need to first determine the values of p and q, which are the x-intercepts.
Here, the x-intercepts are 0 and 13.
The turing point is at the vertex of the parabola, which lies on the line of symmetry (x = (p+q)/2 ). Thus, we can calculate the turing point by finding the average of the two x-intercepts:
turing point = ((0+13)/2, f((0+13)/2))
Now, we just need to evaluate the function at the turing point x-coordinate to find the y-coordinate:
turing point = (6.5, f(6.5))
f(x) = 20/7(x-0)(x-13)
f(6.5) = 20/7(6.5-0)(6.5-13)
f(6.5) = 20/7(6.5)(-6.5)
f(6.5) = -380/7
Therefore, the turing point is (6.5, -380/7).