Casi davis transformation math
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Function Transformations
Let us start with a function, in this case it is f(x) = x2, but it could be anything:
f(x) = x2
Here are some simple things we can do to move or scale it on the graph:
We can move it up or down by adding a constant to the y-value:
g(x) = x2 + C
Note: to move the line down, we use a negative value for C.
- C > 0 moves it up
- C < 0 moves it down
We can move it left or right by adding a constant to the x-value:
g(x) = (x+C)2
Adding C moves the function to the left (the negative direction).
Why? Well imagine you will inherit a fortune when your age=25.
If you change that to (age+4) = 25 then you will get it when you are 21. Adding 4 made it happen earlier.
- C > 0 moves it left
- C < 0 moves it right
BUT we must add C wherever x appears in the function (we are substituting x+C for x).
Example: the function v(x) = x3 - x2 + 4x
To move C spaces to the left, add C to x wherever x appears:
w(x Transformations Digital Activities and Worksheets 8th Grade Math COHI