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Mathematics

Grade10

Easy

Question

Identify the function that represents the translated exponential function.

$f (x) = 2^{x} + 4$
$f (x) = 2^{x}$
$f (x) = 2^{x - 4}$
$f (x) = 2^{x + 4}$

hint Hint:

Since the parent function is translated by 4 units to up, it is a vertical translation.

The correct answer is: $f open parentheses x close parentheses equals 2 to the power of x end exponent plus 4$

Since the parent function is translated by 4 units to up, it is a vertical translation.
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.
Since the graph is translated up, the value of k will be 4.
Therefore the answer is $f left parenthesis x right parenthesis equals 2 to the power of x plus 4$

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