F(x)=x^2
g(x) = (x– 9)^2 +3
We can think of g as a translated (shifted) version of f.

To get the function g, shift f up by 3 units and to the right by 9 units.

Step-by-step explanation:

The given functions are

If f(x) is a parent function, then g(x) can be written in the form of f(x) as

       ...(1)

The translation is defined as

      ... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

It means, to get the function g, shift f up by 3 units and to the right by 9 units.

answer: idk

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204