Answer:
The y-intercept is at;
[tex]y=11[/tex]Explanation:
Given the equation;
[tex]y=(x-3)^2+2[/tex]We want to find the y-intercept of the equation;
Recall that the y-intercept is at x=0;
substituting x=0 into the equation;
[tex]\begin{gathered} y=(0-3)^2+2 \\ y=9+2 \\ y=11 \end{gathered}[/tex]Therefore, the y-intercept is at;
[tex]y=11[/tex]