SOLUTION: I need help graphing the solution to an inequality. y<-2 (x-1)^2 + 2 I also need to find the intercepts. If anyone can help, I would appreciate it.

Algebra ->  Graphs -> SOLUTION: I need help graphing the solution to an inequality. y<-2 (x-1)^2 + 2 I also need to find the intercepts. If anyone can help, I would appreciate it.      Log On


   

Question 48429: I need help graphing the solution to an inequality. y<-2 (x-1)^2 + 2
I also need to find the intercepts. If anyone can help, I would appreciate it.
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
You don't mention if the intercepts are to be found by algebra or from your graph.

Anyway, to solve/plot y%3C-2+%28x-1%29%5E2+%2B+2 you need to solve/plot y=-2%28x-1%29%5E2+%2B+2

To graph/plot it: pick various values of y. These are your choice. Pick something fairly obvious like -3, -2, -1, 0, 1, 2,3 and find the equivalent x-value for each. Plot these. Add more if you need them.

To find the intercepts algebraically:
y=-2%28x-1%29%5E2+%2B+2
y=-2%28x%5E2-2x%2B1%29+%2B+2
y=-2x%5E2%2B4x-2+%2B+2
+y=-2x%5E2%2B4x+

when x=0, y will by zero too. So curve passes through (0,0)

when y=0: +-2x%5E2%2B4x+=+0+
+-2%28x%5E2-2x%29+=+0+
+x%5E2-2x+=+0+
+x%28x-2%29+=+0+
so x=0 or x-2=0
x=0 or x=2

jon