Question

What is the y intercept of `y=3(x-11)^2`?

Answer 1

`(0,363)`

Explanation:

The `y` intercept is, by definition, the point in which the function crosses the `y` axis. All the points on the `y` axis can be written as `P = (0,y)`.

So, the `y` intercept of any function `f(x)` is simply the point `(0,f(0))`, assuming of course that `f` is defined at `x=0`.

In your case,

`f(x) = 3(x-11)^2 \implies f(0) = 3(0-11)^2 = 3\cdot 121 = 363`