Identify the equation of a parabola with a minimum value of 1. O f(x) = -(z - 2)² + 3 O f(z) = -2(x +2)² – 3 o f(r) %3D %3D O f(#) = x? o f(r) = -a² + 4x – 7 = x +4x +5

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Identify the equation of a parabola with a minimum value of 1.
Identify the equation of a parabola with a minimum value of 1.
O f(z) = -(x- 2)² + 3
O f(r) = -2(x +2)? – 3
o f(x) = x2 + 4x + 5
%3D
o f(r) = -x² + 4x – 7
Transcribed Image Text:Identify the equation of a parabola with a minimum value of 1. O f(z) = -(x- 2)² + 3 O f(r) = -2(x +2)? – 3 o f(x) = x2 + 4x + 5 %3D o f(r) = -x² + 4x – 7
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Step 1

The general equation of a parabola with vertex at a point (x,y) is given by the equation;

(y-k)=a(x-h)2+k

 

 

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