1. Determine the focus and directrix of the parabola with the given equation. Sketch the graph, and indicate the focus, directrix, and vertex. а. у? %3D 20х b. 3x2 = -12y c. x2 – 6x – 2y + 9 = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 54E
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Please answer the question in letter C in number 1 and the question in number 2.
Solve the following problems.
1. Determine the focus and directrix of the parabola with the given equation. Sketch
the graph, and indicate the focus, directrix, and vertex.
а. у?
b. Зx2 3D —12у
с. х2 — 6х — 2у +9 %3D 0
d. 3y? + 8x + 24y + 40 = 0
= 20x
2. An object thrown from a height of 2 m above the ground follows a parabolic path
until the object falls to the ground (see figure below). If the object reaches a
maximum height (measured from the ground) of 7 m after travelling a horizontal
distance of 4 m, determine the horizontal distance between the object's initial
and final positions.
7 m
2 m
Transcribed Image Text:Solve the following problems. 1. Determine the focus and directrix of the parabola with the given equation. Sketch the graph, and indicate the focus, directrix, and vertex. а. у? b. Зx2 3D —12у с. х2 — 6х — 2у +9 %3D 0 d. 3y? + 8x + 24y + 40 = 0 = 20x 2. An object thrown from a height of 2 m above the ground follows a parabolic path until the object falls to the ground (see figure below). If the object reaches a maximum height (measured from the ground) of 7 m after travelling a horizontal distance of 4 m, determine the horizontal distance between the object's initial and final positions. 7 m 2 m
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