Transformations: Vertical and Horizontal Translation Review

Front

What is a vertical translation?

Back

A vertical translation shifts the graph of a function up or down without changing its shape.

Front

What is a horizontal translation?

Back

A horizontal translation shifts the graph of a function left or right without changing its shape.

Front

How does the equation g(x) = (x - 1)^3 transform the function f(x) = x^3?

Back

It translates the graph of f(x) 1 unit to the right.

Front

What does the equation g(x) = x^3 + 2 represent?

Back

A vertical translation of the function f(x) = x^3, moving it 2 units up.

Front

What is the parent function of g(x) = |x|?

Back

The parent function is the absolute value function.

Front

If f(x) = (x + 3)^2, what transformation has occurred?

Back

The graph of f(x) has been translated 3 units to the left.

Front

What is the effect of the equation g(x) = x^2 - 4?

Back

It represents a vertical translation of the function f(x) = x^2, moving it 4 units down.

Front

What transformation does g(x) = (x + 2)^2 + 3 represent?

Back

A horizontal translation 2 units to the left and a vertical translation 3 units up.

Front

How do you identify a horizontal translation in an equation?

Back

Look for changes inside the parentheses with x; a positive value shifts left, and a negative value shifts right.

Front

What does the transformation g(x) = (x - 5)^2 + 1 indicate?

Back

A horizontal translation 5 units to the right and a vertical translation 1 unit up.