Identify the conic by writing its equation in standard form. Then sketch its graph. y² - 4y - 4x = 0 STEP 1: Add 4x to both sides of the equation. STEP 2: Complete the square on the left-hand side of the equation by adding a constant to both sides of the equation. = 4x + STEP 3: Factor each side of the equation to write it in standard form. STEP 4: Use your result from Step 3 to identify the conic. O hyperbola O ellipse O parabola O circle STEP 5: Graph the conic. = 4x -10 O -10 -5 -5 EX 5 10 -10 -5 y 10+ -10 y 10 5 10 X -10 -5 y 10 -10- y 10 5 5 X 10 10 X
Identify the conic by writing its equation in standard form. Then sketch its graph. y² - 4y - 4x = 0 STEP 1: Add 4x to both sides of the equation. STEP 2: Complete the square on the left-hand side of the equation by adding a constant to both sides of the equation. = 4x + STEP 3: Factor each side of the equation to write it in standard form. STEP 4: Use your result from Step 3 to identify the conic. O hyperbola O ellipse O parabola O circle STEP 5: Graph the conic. = 4x -10 O -10 -5 -5 EX 5 10 -10 -5 y 10+ -10 y 10 5 10 X -10 -5 y 10 -10- y 10 5 5 X 10 10 X
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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Transcribed Image Text:Identify the conic by writing its equation in standard form. Then sketch its graph.
y² - 4y - 4x = 0
STEP 1: Add 4x to both sides of the equation.
STEP 2: Complete the square on the left-hand side of the equation by adding a constant to both sides of the equation.
= 4x +
STEP 3: Factor each side of the equation to write it in standard form.
STEP 4: Use your result from Step 3 to identify the conic.
O hyperbola
O ellipse
O parabola
O circle
STEP 5: Graph the conic.
-10
= 4x
O
-10
O
-5
-5
y
10+
-10
y
10
O
-10-
5
5
10
10
X
X
-10
-10
y
10
*
X
-5
5
10
-10-
-5
y
10
-10-
5
10
X
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