SOLUTION: I was wondering if yall could check my work Please let me know if theres anything rong! The question ask How many X-intercepts the parabola has and whether its vertex lies abo

Algebra ->  Square-cubic-other-roots -> SOLUTION: I was wondering if yall could check my work Please let me know if theres anything rong! The question ask How many X-intercepts the parabola has and whether its vertex lies abo      Log On


   



Question 33704: I was wondering if yall could check my work Please let me know if theres anything rong!
The question ask How many X-intercepts the parabola has and whether its vertex lies above, below or on the X-axis.
This is problem #1:
Y= x^2 - 5x + 6
The answer i got for this one was that: It has two X-intercepts and it is Below the X-axis.
Problem #2 is:
Y= -X + 2x - 1
The answer that i got was: It has one X-intercept and it is ON the X-axis.
Are these both right? THNX!!!!!!!!!

Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
Y= x^2 - 5x + 6
=> Y = (x-3)(x-2)
x-intercepts are where Y=0
Y=0 for x=3 or x=2
So, it has two x-intercepts;
Y= x^2 - 5x + 6
=> y = (x-5/2)^2 - 1/4
The Vertex is at 5/2, -1/4) - below x-axis
*** Your answers are absolutely correct ****
Y= -X + 2x - 1 is not a parabola