IV. PARABOLA with V (0, 0) and V (h, k) 1. Find the coordinates of the focus, the equation of the directrix, and the length of LR for each parabola. Draw the parabola. a. x² = 20y b. (y + 1)2 = -12(x - 2) 2. Find the standard form equation of the parabola with vertex at (0, 0) and focus at (0, -7). 3. Find the standard form equation of the parabola with vertex at (1, 2) and focus at (1, -1). 4. Determine the vertex, focus, length, and endpoints of the latus rectum. State the equation of the axis of symmetry and the directrix of the parabola with the equation below. (x + 4)² = 4(y-2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 33E
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IV.
PARABOLA with V (0, 0) and V (h, k)
1. Find the coordinates of the focus, the equation of the directrix, and the length of LR for
each parabola. Draw the parabola.
a. x² = 20y
b. (y + 1)² = −12(x - 2)
2.
Find the standard form equation of the parabola with vertex at (0, 0) and focus at (0, -7).
3. Find the standard form equation of the parabola with vertex at (1, 2) and focus at (1, -1).
4. Determine the vertex, focus, length, and endpoints of the latus rectum. State the equation
of the axis of symmetry and the directrix of the parabola with the equation below.
(x+4)² = 4(y-2)
Transcribed Image Text:IV. PARABOLA with V (0, 0) and V (h, k) 1. Find the coordinates of the focus, the equation of the directrix, and the length of LR for each parabola. Draw the parabola. a. x² = 20y b. (y + 1)² = −12(x - 2) 2. Find the standard form equation of the parabola with vertex at (0, 0) and focus at (0, -7). 3. Find the standard form equation of the parabola with vertex at (1, 2) and focus at (1, -1). 4. Determine the vertex, focus, length, and endpoints of the latus rectum. State the equation of the axis of symmetry and the directrix of the parabola with the equation below. (x+4)² = 4(y-2)
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