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Lists of questions are strongly discouraged. 

I will leave 3 and 4 only out of courtesy to your answerer.   Melody

 

3)

 

Find the equation whose graph is a parabola with vertex (2,4), vertical axis of symmetry, and contains the point (1,1). Express your answer in the form ax^2+bx+c.

 

4)

 

The circle 2x^2 = -2y^2 + 12x - 4y + 20 is inscribed inside a square which has a pair of sides parallel to the x-axis. What is the area of the square?

 Feb 16, 2020
edited by daddypig  Feb 16, 2020
edited by daddypig  Feb 17, 2020
edited by daddypig  Feb 17, 2020
edited by Melody  Feb 17, 2020
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3) The quadratic is 3x^2 + x + 5, so a + b + c = 9.

 

4) Completing the square in x and y, we get 2(x - 6)^2 + 2(y + 2)^2 = 100, so the radius of the circle is 10.  Then the side length of the square is 20, and its area is 400.

 Feb 16, 2020

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