Question 109433
Describe the transformations onthe following graph of f(x)= e^x. State the placement of the horizontal asymptote and y-intercept after the transformation. 
a. g(x)=e^x -2
Description of transformation:
Horizontal asymptote: y = -2
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y-intercept in (x,y) form: Let x = 0 then y = 1-2=-1
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and the same b. h(x)=-e^x 
Horizontal asymptote: y = 0
y-intercept: Let x=0, y = -1
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3) Describe the tranformations onthe following graph of f(x)=log(x) 
g(x)=log(x-3)
Description of transformation:
Shift all points of f(x) three units to the right.
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Vertical asymptote: x = 3
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x-intercept in (x,y) form: 
Let y = 0 : log(x-3)=0 ; x-3 = 10^0 ; x-3 = 1; x = 4
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b) g(x)=log(-x)
Description of transformation:
Reflect f(x) in the y axis
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Vertical asymptote:
x=0
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x-intercept in (x.y) form 
Let y=0; 0 = log(-x) ; -x = 10^0; -x = 1 ; x= -1
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Cheers,
Stan H.