Y=(x-1)^2+2 find the y-intercept
1 answer:
Answer:
(0,3)
Step-by-step explanation:
So we have the equation:
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:
Subtract:
Square:
Add:
So, the y-intercept is at (0,3).
And we're done!
You might be interested in
We have been given the sequence 2,3,5,9,17.
We can write the terms of this sequence as
From the above term we can see that for the first term we take exponent 0 on 2 and then add 1 .
For second term we take exponent 1 on 2 and then add 1 .
For third term we take exponent 2 on 2 and then add 1 .
Using this fact for the next term of the sequence i.e. 6th term, we can take exponent 5 on 2 and then add 1 .
Therefore, next term of the sequence is given by
Therefore, the next term is 33.
Using the above facts, the pattern is given by