SOLUTION: Find an equation in standard form of the parabola passing through the given points: (0,3); (1,2);(2,3)

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Question 918797: Find an equation in standard form of the parabola passing through the given points: (0,3); (1,2);(2,3)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Some values in the actual given points tell something. Notice that two of the points have y-coordinate of 3. What are those x values? What is the meaning for the middle of those x values? How does this compare to one of the given points, (1,2)?

Could you understand that the parabola for these three points has no Real Roots?

The easier way to get the equation is to use the knowledge which the leading questions are chosen. The harder way would be to actually form the three-equation system using the three points and then to solve the system.

Do what you can find or think.
YES, you can make an equation with those points. Use your fundamental knowledge as my leading questions are chosen to lead.

If no progress, tell this.
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
Find an equation in standard form of the parabola passing through the given points: (0,3); (1,2);(2,3)


Standard form of the parabolic equation, represented by the above points: 

You can do the check!! 

===================

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