SOLUTION: Can someone help with question: Graph the parabola: y=(x-3)^2-3

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Question 6571: Can someone help with question:
Graph the parabola:
y=(x-3)^2-3

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
right then, y=%28x-3%29%5E2-3 is a u-shaped curve.

When x=0, y=%28-3%29%5E2+-+3 --> y=9-3 --> y=6

When y=0, %28x-3%29%5E2+-+3+=+0
%28x-3%29%5E2+=+3
x-3 = +- sqrt%283%29
so either x = 3%2Bsqrt%283%29
or x = 3-sqrt%283%29

this gives you enough info to sketch the curve.

If you want to PLOT it properly, then pick various x values and find the y-values then plot them.

jon.