Translations of Functions

Front

What is the equation for the translation of f(x)=|x| that moves up 11 units?

Back

f(x) = |x| + 11

Front

Describe the transformation of the function f(x) = |x| when it is translated left 2 units and down 4 units.

Back

Translate Left 2, Down 4

Front

If f(x) = x^2, what is the equation for the function g(x) that translates f(x) to the right by 3 units?

Back

g(x) = (x - 3)^2

Front

What is the equation for the translation of f(x)=|x| that moves down 3 units and right 5 units?

Back

f(x) = |x - 5| - 3

Front

Describe the transformation of the equation y = |x + 2| - 5 from the parent function y = |x|.

Back

Left 2, Down 5

Front

What does a positive value added to the function f(x) = |x| represent in terms of translation?

Back

It represents a vertical translation upwards.

Front

What does a negative value subtracted from the function f(x) = |x| represent in terms of translation?

Back

It represents a vertical translation downwards.

Front

What does a positive value added inside the absolute function f(x) = |x + c| represent?

Back

It represents a horizontal translation to the left by c units.

Front

What does a negative value subtracted inside the absolute function f(x) = |x - c| represent?

Back

It represents a horizontal translation to the right by c units.

Front

If the function f(x) = x^2 is translated down 4 units, what is the new equation?

Back

f(x) = x^2 - 4