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Question 107709: Describe the transformations on the following graph of f(x) = e^x. State the placement of the horizontal asymptote and y-intercept after the transformation.
For example, left 1 or rotated about the y-axis are descriptions.
a( g(x) =e^x -2
b) h(x) = -e^x
I need to find the
Description of transformation:
Horizontal asymptote:
y-intercept in (x, y) form:
For both a & b
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Describe the transformations on the following graph of f(x) = e^x. State the placement of the horizontal asymptote and y-intercept after the transformation.
For example, left 1 or rotated about the y-axis are descriptions.
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a} g(x) =e^x -2
All points of the graph move down two units
Horizontal asymptote: y=-2
x-intercept: let g(x)=0; e^x=2; x=ln2; (ln2,0)
y-intercept: let x=0 ; g(0)=1-2=-1; (-1,0)
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b) h(x) = -e^x
All points of the original graph are reflected in the y-axis.
Horizontal asyptote: y=0
x-intercept: none
y-intercept: let x=0; -e^0=-1; (0,-1)
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I need to find the
Description of transformation:
Horizontal asymptote:
y-intercept in (x, y) form:
For both a & b
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Cheers,
Stan H.
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