Sketch the graph of the function f(x) = -2^x+1 +3 using transformations. Do not create a table of values and plot points

Sketch the graph of the function $$f(x) = -2^x+1 +3$$ using transformations. Do not create a table of values and plot points

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Nathanael Webber

Given
$$\Rightarrow f(x)=-2^{x+1}+3$$
parent fucntion is
$$\Rightarrow y=2^x$$
rule for the transformation from the parent function are
$$\Rightarrow$$ reflection over x-axis
$$\Rightarrow$$ shift of 1 unit left
$$\Rightarrow$$ shift of 3 units up