SOLUTION: Determine the graph of the quadratic equation y = x^2 - 2x + 3.

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Question 462778: Determine the graph of the quadratic equation y = x^2 - 2x + 3.
Found 2 solutions by Gogonati, MathLover1:
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
We write this equation in standard form: y=%28x-1%29%5E2%2B2, which represent an
upward parabola with vertex (1, 2) and axis of symmetry the line x=1. See the graph below:
graph%28300%2C+300%2C+-5%2C+5%2C+-3%2C+10%2C+x%5E2-2x%2B3%29.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

y+=+x%5E2+-+2x+%2B+3
find several points:
if x=0...->y+=+0%5E2+-+2%2A0+%2B+3...->y+=++3
if x=1...->y+=+1%5E2+-+2%2A1+%2B+3...->y+=++2
if x=2...->y+=+2%5E2+-+2%2A2+%2B+3...->y+=++3
if x=3...->y+=+3%5E2+-+2%2A3+%2B+3...->y+=++6
if x=-4...->y+=+%28-4%29%5E2+-+2%2A%28-4%29+%2B+3...->y+=27
make a table:
x|y
0|3
1|2
2|3
3|6
-4|27
graph: plot these points on A Cartesian coordinate system and draw a line:
+graph%28+500%2C+500%2C+-10%2C+30%2C+-10%2C+30%2C+x%5E2+-+2x+%2B+3%29+