Chapter11: Conics
Section11.2: Parabolas
Problem 97E: Write the equation of a parabola that opens up or down in standard form and the equation of a...
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![Write an equation for the parabola for the parabola with axis vertical and containing the points
(0,5), (2,5), and (3,14).
Write an equation for the parabola with axis horizonal, vertex on the y-axis, and containing the points
(2,1) and (18,3).
Find the points of intersection between the line x + y – 4 = 0 and the circle x² + y² = 16.
Find the points of intersection between the line x - y- 2 = 0 and the parabola y = 4 – x².
Find the points of intersection betweer, the line 4y – 3x + 12 = 0 and the ellipse 9x2 + 16y² = 144.
Find the points of intersection between the parabolas y = 6 – x² and y = x2 – 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4edc99d-218f-4406-99d1-341b3c217acb%2F4091c9e3-cc25-4d7d-b85f-160c4cc208ea%2F609o7nj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Write an equation for the parabola for the parabola with axis vertical and containing the points
(0,5), (2,5), and (3,14).
Write an equation for the parabola with axis horizonal, vertex on the y-axis, and containing the points
(2,1) and (18,3).
Find the points of intersection between the line x + y – 4 = 0 and the circle x² + y² = 16.
Find the points of intersection between the line x - y- 2 = 0 and the parabola y = 4 – x².
Find the points of intersection betweer, the line 4y – 3x + 12 = 0 and the ellipse 9x2 + 16y² = 144.
Find the points of intersection between the parabolas y = 6 – x² and y = x2 – 2.
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