Transformations of Radical Functions

Front

What is a radical function?

Back

Front

What does it mean to translate a graph to the right?

Back

Translating a graph to the right means shifting the entire graph horizontally along the x-axis. This is achieved by subtracting a value from the x-variable in the function's equation.

Front

Back

Front

What is the effect of adding a constant to a function's output?

Back

Front

What does the C-value represent in the transformational form of a function?

Back

The C-value represents the horizontal translation of the graph. A positive C-value shifts the graph to the right, while a negative C-value shifts it to the left.

Front

What is a vertical stretch in the context of transformations?

Back

Front

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

Back

Front

Back

The value of D represents the vertical shift of the graph. If D is positive, the graph shifts up; if D is negative, it shifts down.

Front

What is the difference between horizontal and vertical transformations?

Back

Horizontal transformations affect the x-values of the function (shifts left or right), while vertical transformations affect the y-values (shifts up or down).

Front

What does a horizontal compression by a factor of 2 do to a function?

Back