Exponential Function Horizontal Asymptote Shift

00:00 2 marks

The function $h(x) = e^x$ has a horizontal asymptote at $y=0$. If the function is transformed to $k(x) = e^x – 3$, determine the new horizontal asymptote for $k(x)$ and briefly explain your reasoning.

Hint Hint

Hint

Remember that a vertical shift affects the horizontal asymptote by adding the shift value to the original asymptote.

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Complete Answer

$y = -3$

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