Question 116575: Describe the transformation 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 + 3
b) h(x) = e^-x
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Describe the transformation 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 + 3
Up 3
Horizontal asymptote at y = 3; y-intercept at y = 4
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b) h(x) = e^-x
Rotated about the y-axis
Horizontal asymptote at y=0
y-intercept at (0,1)
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Cheers,
Stan H.
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