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1. The problem statement, all variables and given/known data

The curve with the equation y=ax^2 + bx+c has a stationary point at (1,2). When x=0, the slope of the curve is 45 degrees. Find a, b, c.

2. Relevant equations

I'm not sure how to create an equation that involves the 45 degrees

3. The attempt at a solution

There are three equations to solve for the three variables, but so far I only have 2 equations:

2= a+b+c

and

2a+b=2

DW, SOLVED IT! :)

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# Stationary Points and finding variables?

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