Transformations of Radical Functions

Front

What is a radical function?

Back

Front

What does it mean to reflect a function over the x-axis?

Back

Reflecting a function over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph. This changes the sign of the output.

Front

What is a vertical stretch in the context of functions?

Back

Front

How does shifting a function down affect its equation?

Back

Front

What is the parent function of a square root function?

Back

Front

What does it mean to translate a function right by 'h' units?

Back

Front

What is the effect of a negative sign in front of a radical function?

Back

Front

How do you identify transformations from the equation of a radical function?

Back

To identify transformations, compare the function's equation to the parent function. Look for shifts (adding/subtracting inside or outside the radical), stretches (multiplying the radical), and reflections (negative signs).

Front

What does a vertical stretch of a factor 'a' do to the graph of a function?

Back

Front

Back