Representing and comparing transformations

Front

What is the point that is to be transformed called?

Back

Pre-Image

Front

What happens to the graph of y = (x - 5)²?

Back

Shifts right 5.

Front

How do we transform from the parent function to g(x) = -1/5(x - 1)² + 7?

Back

Reflection, vertical shrink, horizontal right, vertical up.

Front

What are the shifts of the graph f(x) = (x + 5)³ - 11 from the parent graph f(x) = x³?

Back

Left 5 and Down 11.

Front

What transformation occurs when f(x) = x is changed to g(x) = f(x) - 6?

Back

g(x) is shifted down 6 units.

Front

What is a transformation in mathematics?

Back

A change in the position, size, or shape of a graph.

Front

What does a vertical shift of a graph do?

Back

Moves the graph up or down without changing its shape.

Front

What is a horizontal shift of a graph?

Back

Moves the graph left or right without changing its shape.

Front

What does a reflection transformation do to a graph?

Back

Flips the graph over a specified axis.

Front

What is a vertical shrink?

Back

A transformation that compresses the graph vertically.