SOLUTION: Graph the quadratic equation after completing the given table of values. y = x^2 – 1 I need to complete a table for both x and y and then graph the points. Is there anyone who

Algebra.Com
Question 46920: Graph the quadratic equation after completing the given table of values. y = x^2 – 1
I need to complete a table for both x and y and then graph the points. Is there anyone who can help with this?
Thanks
x y
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
y = x^2 – 1
If x=0 then y= -1
If x=-1 then y=0
If x=1 then y=0
If x=-2 then y=3
If x=2 then y=3
Plot these points to see the shape of the graph.
Connect the points with a smooth curve to see the graph.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=4 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1, -1. Here's your graph:

Hope this helps.
Cheers,
Stan H.
RELATED QUESTIONS

Graph the quadratic equation after completing the given table of values. y = –x^2 –... (answered by stanbon)
Graph the quadratic equation after completing the given table of values. Can someone... (answered by Nate,Socom491)
Graph the quadratic equation after completing the given table of values. y = x^2 + (answered by vertciel)
Graph the following quadratic equation after completing the given table of values.... (answered by elima)
18. Graph the quadratic equation after completing the given table of values. y = –x^2 – (answered by edjones)
Graph the quadratic equation after completing the given table of values y=x^2-5x+4... (answered by rchill)
Graph the quadratic equation after complete the given table of values. y = x2 + 2 X=... (answered by jim_thompson5910)
Graph the quadratic equation after completing the given table of values. y = x2 + 2. (answered by jim_thompson5910)
Graph the quadratic equation after completing the given table of values. y = x^2 – 1 (answered by checkley71,jim_thompson5910)