Question

Use the drawing tool(s) to form the correct answer on the provided graph, The function fx) is shown on the provided graph. Graph the result of the following transformation on f(X). f(x) + 6

Answer 1

We have that the line passes by the points (0, -2) & (1, 2). Using this we determine the slope (m) and then the function. After that we transformate the function. We proceed as follows:

`m=(2-(-2))/(1-0)\Rightarrow m=4`

Now, using one of the points [In our case we will use (0, -2), but we can use any point of the line] and the slope, we replace in:

`y-y_1=m(x-x_1)`

Then:

`y-(-2)=4(x-0)`

Now, we solve for y:

`\Rightarrow y+2=4x\Rightarrow y=4x-2`

And we apply the transformation to our line, that is f(x) -> f(x) + 6:

`y=4x-2+6\Rightarrow y=4x+4`

Therefore our final line (After the transformation) is y = 4x + 4, and graphed that is: