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Mathematics

Grade10

Easy

Question

Which exponential function represents the graph if $j open parentheses x close parentheses equals 3 to the power of x end exponent$ is moved 7 units to the right?

$3^{x} + 7$
$3^{x - 7}$
$3^{x + 7}$
$3^{x} - 7$

hint Hint:

When the graph of the function $f open parentheses x close parentheses equals a to the power of x end exponent$ is translated horizontally, the exponential function will be $a to the power of x minus h end exponent$ .
If h > 0, the parent function is shifted to the right.

The correct answer is: $3 to the power of x minus 7 end exponent$

When the graph of the function $f open parentheses x close parentheses equals a to the power of x end exponent$ is translated horizontally, the exponential function will be $a to the power of x minus h end exponent$ .
If h > 0, the parent function is shifted to the right.
If h < 0, the parent function is shifted to the left.
The function $j open parentheses x close parentheses equals 3 to the power of x end exponent$ becomes $3 to the power of x minus 7 end exponent$ when translated by 7 units to the right.

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