# Sketch a graph of the function. Use transformations of functions whenever possible. f(x)=-(x-1)^{4}

Sketch a graph of the function. Use transformations of functions whenever possible. $f\left(x\right)=-{\left(x-1\right)}^{4}$
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Step 1
First graph function $y={x}^{4}$
Then, to obtain graph of function $f\left(x\right)=-{\left(x-1\right)}^{4}$, do following transformations:
-shift 1 unit to the right
-reflect over x-axis
On graph:
Red - $y={x}^{4}$
Blue - $f\left(x\right)=-{\left(x-1\right)}^{4}$
Step 2