Question

The graph shown is a translate of the graph of

Answer 1

We have the original function

`f(x)=x^2`

The graph is

As we can see with the graph shown is translated

- displacement 4 units to the right

- shift up by 6 units

for the displacement 4 units, we need to subtract for units to the x

`f(x)=(x-4)^2`

the shift up we need to add 6 to the function, and we obtain the function of the graph

`f(x)=(x-4)^2+6`

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