6.1: Conic Sections
- Page ID
- 143134
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- Find the value of \(c\) so that the quadratic expression \(x^2 + 8x + c\) factors into a perfect square.
- Find the value of \(c\) so that the quadratic expression \(x^2 - 9x + c\) factors into a perfect square.
- Find the value of \(c\) so that the quadratic expression \(x^2 + \dfrac{4}{3}x + c\) factors into a perfect square.
- Plot \(y = 3x^2\).
- Plot \(x = -\dfrac{3}{2}y^2\).
- Plot \(x^2 + y^2 = 4\).
- Plot \(\dfrac{x^2}{25} + \dfrac{y^2}{9} = 1\).
- plot \(\dfrac{x^2}{9} - \dfrac{y^2}{4} = 1\).
- plot \(\dfrac{y^2}{4} - \dfrac{x^2}{16} = 1\).
- Plot \(y = -2(x - 4)^2 - 3\).
- Plot \(x = 3\left(y + \dfrac{1}{2}\right)^2 + 1\).
- Plot \( (x + 3)^2 + y^2 = \dfrac{25}{4}\).
- Plot \(\dfrac{(x - 1)^2}{4} + \dfrac{\left(y + \frac{5}{2}\right)^2}{16} = 1\).
- Plot \(\dfrac{(x + 3)^2}{9/4} - \dfrac{(y + 2)^2}{49/4} = 1\).
- Plot \(\dfrac{\left(y-\frac{1}{2}\right)^2}{25} - \left(x - \frac{3}{2}\right)^2 = 1\).
- Plot \(-2x^2 -16x - 2y - 24 = 0\).
- Plot \(-2y^2 + 2x + 12y - 20 = 0\).
- Plot \(-3x^2 - 3y^2 - 12y - 9 = 0\).
- Plot \(16x^2 + y^2 + 64x + 6y + 57 = 0\).
- Plot \(27x^2 - 48y^2 - 162x - 189 = 0\).
- Plot \(-16x^2 + 4y^2 + 32x - 16y - 64 = 0\).