Transformations of Functions

Front

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)? Options: g(x)=x³+1, g(x)=x³-1, g(x)=(x-1)³, g(x)=(x+1)³

Back

g(x)=(x-1)³

Front

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

Back

Vertical translation up by 2 units.

Front

How did the equation shift from the parent function? y = f(x) + c

Back

Shifted up "c" units

Front

If the blue is f(x)=x², the red must be: g(x)=(x+3)², g(x)=(x-3)², g(x)=x²+3, g(x)=x²-2

Back

g(x)=(x-3)²

Front

If the blue is f(x)=x², then the red must be: g(x)=x²-5, g(x)=x²+5, g(x)=(x-5)², g(x)=(x+5)²

Back

g(x)=x²-5

Front

If the blue graph is
f(x) = x² 
then the red must be...
Options: g(x) = x² - 5, g(x) = x² + 5, g(x) = (x - 5)², g(x) = (x + 5)²

Back

g(x) = x² - 5

Front

Is this table a function or not a function? Options: Function, Not a Function

Back

Not a Function

Front

Is this table a function or not a function? Options: Function, Not a Function

Back

Function

Front

Is this table a function or not a function? Options: Function, Not a Function

Back

Not a Function

Front

Is this set of ordered pairs a function and how can you tell?

Back

No it isn't a function because an x value repeats but has different y values