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Mathematics

Grade10

Easy

Question

$p open parentheses x close parentheses equals 6 to the power of x end exponent$ is translated 5 units to the right.
Identify the asymptote of the translated exponential function.

y = - 3
y = 6
x = - 3
y = 0

hint Hint:

We know that, $p open parentheses x close parentheses equals 6 to the power of x minus 5 end exponent$ is the horizontal translation of $p open parentheses x close parentheses equals 6 to the power of x end exponent$ by 5 units to the right. The asymptote of the function $p open parentheses x close parentheses equals 6 to the power of x end exponent$ is y = 0. The asymptote, y = 0, remains unchanged. So now we can now determine the asymptote.

The correct answer is: y = 0

$p open parentheses x close parentheses equals 6 to the power of x minus 5 end exponent$ is the horizontal translation of $p open parentheses x close parentheses equals 6 to the power of x end exponent$ by 5 units to the right.
The asymptote of the function $p open parentheses x close parentheses equals 6 to the power of x end exponent$ is y = 0.
The asymptote, y = 0, remains unchanged.
So, the asymptote of $p open parentheses x close parentheses equals 6 to the power of x minus 5 end exponent$ is also y = 0.

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