2007-05-11 23:23:06 · 3 answers · asked by las_mica 1 in Science & Mathematics ➔ Mathematics
Completing the square, dividing through by 16 and rearranging yields:
y = - [(x - 2)/2]^2 - 1.
This is clearly a parabola. Its vertex is x = 2, the line parallel to the y-axis which passes through (2, 0).
2007-05-12 00:13:05 · answer #1 · answered by MHW 5 · 0⤊ 0⤋
The equation of the conic is:
4x² - 16x + 16y + 32 = 0
x² - 4x + 4y + 8 = 0
x² - 4x = -4y - 8
x² - 4x + 4 = -4y - 8 + 4
(x - 2)² = -4y - 4
(x - 2)² = -4(y + 1)
The conic is a parabola. Its vertex is (2, -1).
2007-05-12 21:58:46 · answer #2 · answered by Northstar 7 · 0⤊ 0⤋
The equation of the conic is 9x² + 4y² - 18x + 8y = 23 9x² - 18x + 4y² + 8y = 23 9(x² - 2x + a million) + 4(y² + 2y + a million) = 23 + 9*a million + 4*a million 9(x - a million)² + 4(y + a million)² = 36 (x - a million)²/4 + (y + a million)²/9 = a million it truly is the equation of an ellipse with middle (a million, -a million).
2016-12-17 10:38:22 · answer #3 · answered by ? 4 · 0⤊ 0⤋