Question

How do you graph `(x – 4)^2 + (y – 2)^2 = 25`?

Answer 1

This is the equation of a circle of radius `5` with centre `(4, 2)`

Explanation:

This equation is of the form `(x - a)^2 + (y - b)^2 = r^2`, which is the standard form of the equation of a circle of radius `r` centred at `(a, b)`.

The left hand side is the formula for the square of the distance of `(x, y)` from `(a, b)`

graph{(x-4)^2+(y-2)^2 = 25 [-10.75, 15.91, -5.39, 7.95]}