Solve the following math problem efficiently and clearly:

- For simple problems (2 steps or fewer):
Provide a concise solution with minimal explanation.

- For complex problems (3 steps or more):
Use this step-by-step format:

## Step 1: [Concise description]
[Brief explanation and calculations]

## Step 2: [Concise description]
[Brief explanation and calculations]

...

Regardless of the approach, always conclude with:

Therefore, the final answer is: $oxed{answer}$. I hope it is correct.

Where [answer] is just the final number or expression that solves the problem.

Problem: Let $A = (1,1)$ be a point on the parabola $y = x^2.$  The normal to the parabola at $A$ is drawn, intersecting the parabola again at $B.$  Find $B.$

[asy]
unitsize(1 cm);

pair A, B;

A = (1,1);
B = (-3/2,9/4);

real parab (real x) {
  return(x^2);
}

draw(graph(parab,-2,2));
draw((A + (-1,-2))--(A + (1,2)));
draw((A + (1,-0.5))--(A + (-3,1.5)));
draw(rightanglemark(A + (-3,1.5), A, A + (1,2), 10));

dot("$A$", A, S);
dot("$B$", B, SW);
[/asy]

Note: The normal at a point $P$ on a curve $\mathcal{C}$ is the line passing through $P$ that is perpendicular to the tangent to $\mathcal{C}$ at $P.$
user