The parent function f(x) = log3x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it up three units. which function is representative of this transformation?

Step-by-step explanation:

we have

step 1

Reflecting the function f(x) over the x-axis

we know that

To reflect a function about the x-axis, multiply the function by -1

f(x) -----> -f(x)

so

step 2

Stretching the function f(x) vertically by a factor of two

To stretch a function vertically, multiply the function by two

f(x) -----> 2f(x)

step 3

Shifting the function f(x) up three units

To shift the function up, adds three units to the function

f(x) -----> f(x) +3

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