Transformations of Functions

Front

What is a vertical stretch of a function?

Back

A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

Front

What does it mean to shift a function up or down?

Back

Shifting a function up means adding a positive constant to the function, while shifting it down means subtracting a constant.

Front

Describe the transformation of the function g(x) = 5x^2 + 2 from the parent function f(x) = x^2.

Back

Vertical Stretch of 5 and Up 2.

Front

What is a vertical shrink of a function?

Back

A vertical shrink occurs when the output values of a function are multiplied by a factor between 0 and 1, making the graph shorter.

Front

How does the transformation h(1/3x) affect the graph of a function?

Back

Horizontally Stretched by a factor of 3.

Front

What is the effect of the transformation f(x) = x^3 - 4?

Back

This transformation shifts the graph of f(x) = x^3 down by 4 units.

Front

Which equation represents a quadratic function translated up 5 units?

Back

y = x^2 + 5.

Front

What does a horizontal stretch of a function mean?

Back

A horizontal stretch occurs when the input values of a function are multiplied by a factor less than 1, making the graph wider.

Front

What is the transformation of the function f(x) = (x - 1)^2?

Back

This transformation shifts the graph of f(x) = x^2 to the right by 1 unit.

Front

What is the effect of the transformation f(x) = (x + 2)^2?

Back

This transformation shifts the graph of f(x) = x^2 to the left by 2 units.