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Mathematics

Grade10

Easy

Question

The graph of $f open parentheses x close parentheses equals 3 to the power of x end exponent minus 6$ is translated from the parent function by _______.

6 units to the right
3 units to the left
3 units upwards
6 units downwards

hint Hint:

The graph of $f left parenthesis x right parenthesis equals 2 to the power of x end exponent plus k$ is a vertical translation of the graph of $f left parenthesis x right parenthesis equals 2 to the power of x end exponent$ .
If k < 0, the graph is moved down.

The correct answer is: 6 units downwards

The graph of $f left parenthesis x right parenthesis equals 2 to the power of x end exponent plus k$ is a vertical translation of the graph of $f left parenthesis x right parenthesis equals 2 to the power of x end exponent$ .
If k > 0, the graph is moved up.
If k < 0, the graph is moved down.
Since the given function is $f open parentheses x close parentheses equals 3 to the power of x end exponent minus 6 comma$ the parent function is translated vertically 6 units downwards.

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