Answer:
(0,3)
Step-by-step explanation:
So we have the equation:
[tex]y=(x-1)^2+2[/tex]
Recall what the y-intercept is. The y-intercept is when the graph crosses the y-axis. Therefore, at that point, the x-value is 0. So, to find the y-intercept, substitute 0 for x. Thus:
[tex]y=(0-1)^2+2[/tex]
Subtract:
[tex]y=(-1)^2+2[/tex]
Square:
[tex]y=1+2[/tex]
Add:
[tex]y=3[/tex]
So, the y-intercept is at (0,3).
And we're done!
