Radical Transformations

Front

What is the domain of the function y=log_2(x+1)?

Back

The domain is (-1, ∞).

Front

Which equation represents the function graphed as a downward-opening absolute value function shifted up by 2 units?

Back

The equation is f(x)=-|x|+2.

Front

What transformations occur in the function f(x)=-log_2(x+1)?

Back

The transformations are a left shift by 1 unit and a reflection across the x-axis.

Front

Write the absolute value function for the following transformations: Reflection across the x-axis, vertical shift right 2 units, horizontal shift down 7 units.

Back

The function is y=-|x-2|-7.

Front

What type of transformation is represented by the function y=x+2?

Back

It is a vertical translation up 2 units.

Front

What is the parent function of an absolute value function?

Back

The parent function is f(x)=|x|.

Front

How does a reflection across the x-axis affect the graph of a function?

Back

It flips the graph over the x-axis.

Front

What is the effect of a horizontal shift to the right on the function f(x)?

Back

The graph of the function moves to the right along the x-axis.

Front

What is the transformation for the function f(x)=|x-3|+4?

Back

It is a horizontal shift right 3 units and a vertical shift up 4 units.

Front

What does the notation log_b(x) represent?

Back

It represents the logarithm of x to the base b.