Question

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

Answer 1

Answer:

(0,3)

Step-by-step 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!