Question

The graph of f(x) = 1/3

is reflected vertically, compressed horizontally by a factor of 5, shifted
right 2 units and down 6 units. Write the equation of the new graph.

Answer 1

The transformed function is defined by:

g(x) = -f(x/5 - 2) - 6

Where f(x) is the given function.

How to get the equation of the transformed function?

Here we start with the function:

f(x) = (1/3)*x

(I don't know if this is the actual function, but that does not matter, I will solve it in a general way).

If first, we reflect it vertically, then the new function is:

g(x) = -f(x).

If now we compress it horizontally by a factor of 5, then we get:

g(x)  = - f(x/5)

Now we shift it 2 units to the right, then:

g(x) = -f(x/5 - 2)

Finally, we shift it down 6 units, then we get:

g(x) = -f(x/5 - 2) - 6

That is the general form of the function g(x).

Replacing f(x) by what is defined above, we get:

g(x) = -(1/3)*(x/5 - 2) - 6

If you want to learn about transformations:

https://brainly.com/question/4289712

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