Writing Transformations of Functions

Front

What is the transformation of the function f(x) = x^3 when it is shifted four units down?

Back

f(x) = x^3 - 4

Front

What does the expression f(x) + 3 represent in terms of transformation?

Back

3 Units Up

Front

Given f(x) = (x - 3)^2 + 5, what transformations occurred from the original function?

Back

Right 3 and Up 5

Front

Describe the transformations represented by g(x + 4) - 6.

Back

4 Units Left and 6 Units Down

Front

Which equation represents a quadratic function translated up 5 units?

Back

y = x^2 + 5

Front

What is the effect of adding a positive constant to a function?

Back

It shifts the graph upward by that constant value.

Front

What is the effect of subtracting a positive constant from a function?

Back

It shifts the graph downward by that constant value.

Front

How does the transformation f(x - h) affect the graph of f(x)?

Back

It shifts the graph to the right by h units.

Front

How does the transformation f(x + h) affect the graph of f(x)?

Back

It shifts the graph to the left by h units.

Front

What is the transformation of the function f(x) = -x^2?

Back

It reflects the graph of f(x) = x^2 across the x-axis.