Question

Y=(x-1)^2+2 find the y-intercept

Answer 1

(0,3)

Explanation:

So we have the equation:

`y=(x-1)^2+2`

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:

`y=(0-1)^2+2`

Subtract:

`y=(-1)^2+2`

Square:

`y=1+2`

Add:

`y=3`

So, the y-intercept is at (0,3).

And we're done!