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3. Find the standard form equation of the parabola with vertex at (1, 2) and focus at (1, -1).

3. Find the standard form equation of the parabola with vertex at (1, 2) and focus at (1, -1).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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IMPORTANT NOTE: please answer items 3 and 4 only
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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