Transformation of Graphs M6L1

Front

What happens to the graph of f(x) when f(x) is replaced with f(x) + 2?

Back

The graph is vertically translated up by 2 units.

Front

What is the effect of replacing f(x) with f(-2x)?

Back

The graph is reflected across the y-axis and horizontally compressed by a factor of 2.

Front

Which function reflects the graph of f(x)=(x-1)²?

Back

g(x) = - (x-1)².

Front

What transformation occurs when changing f(x) to g(x) if g(x) is a reflection of f(x)?

Back

The transformation is a reflection.

Front

Describe the transformation from the graph of f to the graph of g if g is a horizontal translation of f, 4 units left.

Back

The graph of g is a horizontal translation of the graph of f, 4 units left.

Front

What is a vertical translation?

Back

A vertical translation moves the graph up or down without changing its shape.

Front

What does a horizontal translation do to a graph?

Back

A horizontal translation moves the graph left or right without changing its shape.

Front

What is the effect of a reflection across the x-axis on a graph?

Back

The graph is flipped over the x-axis.

Front

What is a vertical stretch?

Back

A vertical stretch increases the distance between points on the graph and the x-axis, making the graph taller.

Front

What is a horizontal compression?

Back

A horizontal compression reduces the distance between points on the graph and the y-axis, making the graph narrower.