💯Lesson 3.3 CFU

Front

What is a Translation in mathematics?

Back

A transformation that shifts a graph up, down, left, or right without changing its shape or orientation.

Front

What happens to the function g(x) = f(x) - 9?

Back

It undergoes a vertical translation down by 9 units.

Front

How does the function t(x) = x - 7 compare to the parent function f(x) = x?

Back

It is a vertical translation down by 7 units.

Front

What does the equation g(x) = f(x - 4) indicate about the graph?

Back

It shifts the graph to the right by 4 units.

Front

How does the function w(x) = x + 13 compare to the parent function f(x) = x?

Back

It is a vertical translation up by 13 units.

Front

What is the effect of a vertical translation on a function?

Back

It moves the graph up or down without changing its shape.

Front

What does a horizontal translation do to a function?

Back

It shifts the graph left or right without changing its shape.

Front

If a function is translated up by 5 units, what is the new function if the original is f(x)?

Back

The new function is f(x) + 5.

Front

If a function is translated down by 3 units, what is the new function if the original is f(x)?

Back

The new function is f(x) - 3.

Front

What is the parent function of linear functions?

Back

The parent function is f(x) = x.