Answer:
x = 3, (3, -34)
Step-by-step explanation:
Please write this as y = -x^2 - 6x - 7. Here we use " ^ " to indicate exponentiation. The coefficients of this quadratic equation are a = -1, b = -6 and c = -7.
-b
Using the formula for the axis of symmetry, x = --------
2a
-(-6)
we find that this axis in this case is x = ---------- = 6/2 = 3.
2(-1)
The axis of symmetry is x = 3.
We use this x value to determine the y-value at the vertex:
y = -(3)^2 - 6(3) - 7 = -9 - 18 - 7 = -34
The vertex is (3, -34).
