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Mathematics

Grade10

Easy

Question

The exponential function $g open parentheses x close parentheses equals 2 to the power of x minus 1 end exponent$ is _ units to the _ of the parent function $f open parentheses x close parentheses equals 2 to the power of x end exponent$ .

2 units, left
1 unit, left
2 units, right
1 unit, right

hint Hint:

Here, g(x)= $2 to the power of x minus h end exponent$ is the translation of the parent function f(x)= $2 to the power of x$ . If h > 0, the graph is translated to the right by $h$ units i.e., the graph will move to right by h units. If h $less than$ 0, the graph is translated to the left by h units. i.e., the graph will move to left by h units.

The correct answer is: 1 unit, right

g(x)= $2 to the power of x minus h end exponent$ is the translation of the parent function f(x)= $2 to the power of x$
If h > 0, the graph is translated to the right by $h$ units.
If h $less than$ 0, the graph is translated to the left by h units.

The graph of $g open parentheses x close parentheses equals 2 to the power of x minus 1 end exponent$ is 1 unit to the right of $f open parentheses x close parentheses equals 2 to the power of x end exponent$ .

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