SOLUTION: graph f(x)=xsquared-1

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Question 65114: graph f(x)=xsquared-1
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
graph f(x)=xsquared-1
If you're supposed to use transformations to graph this, it is the graph of f%28x%29=x%5E2 shifted down one unit.
If you've never heard of that before, this is a parabola. We can plot a few points to find it.
The y-intercept is where x=0.
f%280%29=%280%29%5E2-1
f%280%29=-1
Plot (0,-1)
The x intercept is where y=0
0=x%5E2-1
0=%28x%2B1%29%28x-1%29
x+1=0 and x-1=0
x+1-1=0-1 and x-1+1=0+1
x=-1 and x=1
Plot (-1,0) and (1,0)
The vertex is the turning point of the parabola, if you have x-intercepts, it's x-coordinate is half-way between the two intercepts.
x=%28-1%2B1%29%2F2=0 we already have that point in the y-intercept, but that's not always going to happen.
This is what your graph ends up looking like:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2-1%29
Happy Calculating!!!