Question

Write a function g whose graph represents the indicated transformation of the graph of f(x)=6-x.

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Answer 1

g(x)=6-3x

Explanation:

It needs to stay negitive since the other x is negitive.

Answer 2

g=-3x+6

Explanation:

The g function can be obtained from the graph using two points, the first (0,6) and the second (2,0).

Remember, a line has the following equation:

y=mx=b, where 'm' is the slope and 'b' the interception with 'y' axis

b=6, since x=0 and y=6.

Now to find the slope, lets use the following equation:

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

With the previously obtained point.

We have m=-3

Hence our function g has the following eq:

g=-3x+6