SOLUTION: Graph the quadratic equation after completing the given table of values. Can someone show how to do this? y = x^2-1

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Graph the quadratic equation after completing the given table of values. Can someone show how to do this? y = x^2-1      Log On


   

Question 42639: Graph the quadratic equation after completing the given table of values.
Can someone show how to do this?
y = x^2-1
Found 2 solutions by Nate, Socom491:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+x%5E2+-+1
vertex = ((-b/2a),f(x)) = (0,-1)
pick points:
x=1 ; y=0
x=-1 ; y=0
match the points to get a U-shaped graphed line
+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+x%5E2+-+1%29+

Answer by Socom491(19) About Me  (Show Source):
You can put this solution on YOUR website!
ok, for the table of values I'm going to pick numbers for x which are quite small so we don't have a huge axis. Also remember, when doing these problems, there can be any number for x. So I'll pick three values for x: 1, 2, and 3.
The equation for the line is y=x^2-1.
For the first value we plug 1 the number for x, so, y=1%5E2-1=0
For the second we plug in 2 for x and solve. y=2%5E2-1=3
For the third, we plug in 3 for x and solve also. y=3%5E2-1=8
Now that we know what both x and y equal, we plot them on the axis for each value that we found. So the first one would be 1,0. The second 2,3; The third, 3,8;