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

May 30, 2018

$\left(0 , 363\right)$

#### 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 $P = \left(0 , y\right)$.

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

$f \left(x\right) = 3 {\left(x - 11\right)}^{2} \setminus \implies f \left(0\right) = 3 {\left(0 - 11\right)}^{2} = 3 \setminus \cdot 121 = 363$