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Mathematics

Grade10

Easy

Question

Tim graphs $f open parentheses x close parentheses equals 3 to the power of x end exponent minus 4$ by translating the graph of $f open parentheses x close parentheses equals 3 to the power of x end exponent$ _________.

3 units to the left
4 units to the right
4 units down
3 units left

hint Hint:

If k <0, the graph of an exponential function $f open parentheses x close parentheses equals 2 to the power of x end exponent plus k$ moves down..

The correct answer is: 4 units down

When an exponential function $f open parentheses x close parentheses equals 3 to the power of x end exponent$ is translated as $f open parentheses x close parentheses equals 3 to the power of x end exponent minus 4$ when it is moved 4 units down.

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