Which of the following options is the correct graph of y -1-2 x -2 -A-B-C-D-

The correct option is D Graph of y=(12)^x is plotted as Graph of y=(12)^x 2 is plotted by shifting the graph of y=(12)^x, 2 units downward along the y axis. ...

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Standard XII

Mathematics

f(x) Transforms to f(x)+a or f(x)-a

Which of the ...

Question

Which of the following options is the correct graph of $y = {(\frac{1}{2})}^{x} - 2$ ?

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Solution

The correct option is D
Graph of $y = {(\frac{1}{2})}^{x}$ is plotted as

Graph of $y = {(\frac{1}{2})}^{x} - 2$ is plotted by shifting the graph of $y = {(\frac{1}{2})}^{x}$ , $2$ units downward along the $y$ -axis.

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Which of the following options is the correct graph of y=(12)x−2 ?

The correct option is D Graph of y=(12)x is plotted as Graph of y=(12)x−2 is plotted by shifting the graph of y=(12)x, 2 units downward along the y-axis.

Which of the following options is the correct graph of $y = {(\frac{1}{2})}^{x} - 2$ ?

The correct option is D
Graph of $y = {(\frac{1}{2})}^{x}$ is plotted as

Graph of $y = {(\frac{1}{2})}^{x} - 2$ is plotted by shifting the graph of $y = {(\frac{1}{2})}^{x}$ , $2$ units downward along the $y$ -axis.