transformations

Front

What is the parent function of the absolute value function?

Back

The parent function is the absolute value function, represented as f(x) = |x|.

Front

How does the equation y = |x + 4| + 7 transform the parent function?

Back

This equation translates the absolute value function left 4 units and up 7 units.

Front

If f(x) = 2x + 3, what is the new rule when the function is translated down 2?

Back

The new rule is g(x) = 2x + 1.

Front

What does the equation y = x + 2 indicate about the transformation from the parent function?

Back

It indicates that the function is translated up 2 units.

Front

What is the vertex of the absolute value function?

Back

The vertex of the absolute value function is (0, 0).

Front

What transformation does the equation y = |x - 3| represent?

Back

It represents a translation of the absolute value function right 3 units.

Front

How do you translate the function f(x) = x^2 down 5 units?

Back

The new function is g(x) = x^2 - 5.

Front

What is the effect of the transformation y = |x| - 4 on the absolute value function?

Back

It translates the absolute value function down 4 units.

Front

What does the transformation y = (x + 2)^2 represent?

Back

It represents a translation of the quadratic function left 2 units.

Front

How does the equation y = |x - 1| + 3 transform the parent function?

Back

It translates the absolute value function right 1 unit and up 3 units.