parent functions and transformations

Front

What is a parent function?

Back

A parent function is the simplest form of a function type, from which other functions can be derived by transformations.

Front

What transformation occurs in the function y = (x - 3)²?

Back

The graph is translated right 3 units.

Front

Identify the parent function of y = |x|.

Back

The parent function is the absolute value function.

Front

What is the general form of a quadratic function?

Back

The general form is y = ax² + bx + c, where a, b, and c are constants.

Front

How do you translate a function left by 4 units?

Back

To translate a function left by 4 units, replace x with (x + 4) in the function.

Front

What type of function is y = |x|?

Back

It is an absolute value function.

Front

What is the effect of adding a constant outside the function, like in y = |x| + 1?

Back

It translates the graph up by 1 unit.

Front

What is the effect of subtracting a constant outside the function, like in y = |x| - 1?

Back

It translates the graph down by 1 unit.

Front

What transformation occurs in the function y = (x + 4)²?

Back

The graph is translated left 4 units.

Front

What is the parent function of y = √x?

Back

The parent function is the square root function.