If a curve f(x) has dx dy = (y – 1)2(2+ x) and passes through the point (-1,2), then what is the equation of the curve? 2 2 1 x2 +4x+4 y = 1 -- y = х2 +4x+1 O D O A 2 y = 1– y = 1+ - x² +4x+4 x² +4x+1 B.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 51E
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dy
If a curve f(x) has
dx
(y – 1)2(2 + x) and passes through the point (-1,2), then what is
the equation of the curve?
2
2
1
x² +4x+4
y = 1 –
y =
-
x² +4x+1
-
O D
O A
2
2
y = 1 –
y = 1+
-
x2 +4x+4
x2 +4x+1
O B
Transcribed Image Text:dy If a curve f(x) has dx (y – 1)2(2 + x) and passes through the point (-1,2), then what is the equation of the curve? 2 2 1 x² +4x+4 y = 1 – y = - x² +4x+1 - O D O A 2 2 y = 1 – y = 1+ - x2 +4x+4 x2 +4x+1 O B
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