Context: that answer is wrong in the correct equation a=2, h=1 and k=-18 Answer question

It seems that the context of your question involves a mathematical problem, specifically relating to an equation where the parameters $a$, $h$, and $k$ have specific values. However, without the original equation or context, it's difficult to provide a detailed breakdown or verification of the calculations.

If you're working with a quadratic function in the form of $f(x) = a(x-h)^2 + k$, for your parameters $a = 2$, $h = 1$, and $k = -18$, the equation would be:

$f(x) = 2(x - 1)^2 - 18$

To verify the behavior of this quadratic equation:

1. Vertex: The vertex of the parabola is at the point $(h, k)$ or $(1, -18)$.
2. Axis of Symmetry: The axis of symmetry would be the line $x = h$, which is $x = 1$.
3. Direction: Since $a$ is positive, the parabola opens upwards.

If you have specific calculations or further details that you need assistance with, please provide that context, and I will help you solve it correctly.