transformation of functions

Front

What is the parent function of a quadratic function?

Back

Quadratic function (f(x) = x²)

Front

How do you shift the function f(x) = x³ four units down?

Back

f(x) = x³ - 4

Front

If f(x) = |x|, what is the transformation for g(x) = |x - 2|?

Back

Shifted right 2 units.

Front

What transformations occur in f(x) = (x - 3)² + 5?

Back

Right 3 units and up 5 units.

Front

What does p(x) = f(x + 3) represent in terms of transformation?

Back

Shifted left 3 units.

Front

What is the effect of a vertical stretch on a function?

Back

It makes the graph steeper.

Front

What is the transformation for g(x) = f(x) + 2?

Back

Shifted up 2 units.

Front

What does the transformation f(x) = f(x - 4) indicate?

Back

Shifted right 4 units.

Front

What is the parent function of an absolute value function?

Back

Absolute value function (f(x) = |x|)

Front

How do you reflect a function across the x-axis?

Back

Multiply the function by -1.