- In the equation, y= Af(B (x+C))+D , when ever the "A" value is a negative number, the function will reflect in the x-axis changing all y values to the opposite sign.
Once all the y values have switched their sign, it would like the orange function below, where the purple function was f(x) = x
- In the same equation y= Af(B (x+C))+D , when the "B" value is a negative number, the function will reflect in the y axis changing all x values to the opposite sign.
In this graph, the original function was the green function, but since the function has been reflected in the y axis the x values became opposite.
- If the function is to be inverted, the function will reflect along the y=x line. To perform that sort of function you'd need to replace f(x) with a y
f(x) = (3x+3)+1 -------> y= (3x+3)+1
The next step would be to replace the "y" with the "x" and vice-versa
y= (3x+3)+1 -------> x= (3y+3)+1
Then from there you'd solve for y
x= (3y+3)+1 -------> x -1 = 3y+3 -------> x - 4 = 3y -------> 1x - 4 = y
3 3 3
And there is your inverse equation!
1x - 4 = y
3 3
Hopefully with all of this you can solve your equations.
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