Answer:
Step-by-step explanation:
-b
The axis of symmetry can be calculated using this formula: x = ------
2a
-(-12)
which in this case is x = ---------- = 1. The axis of symmetry is the vertical
2(6) line x = +1
Thus, x = 1 is the x-coordinate of the vertex. Normally we'd find the y-coordinate by evaluating the function at x = 1. Unfortunately your
6x²-12x-25=-7 does not have the form of a quadratic function; such a function does not have the " = " sign in it.
Example: Suppose we have 6x²-12x-25 = f(x) and we evaluate this function at x = 1: f(1) = 6(1)^2 - 12(1) - 25 = -31, which (in this example)
leads to the vertex (1, -31).