Module 2 Topic 2 Test (Transformations)

Front

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

Back

The graph undergoes a vertical stretch by a factor of 2.

Front

Simplify the expression: 4x - 3 + 2 - 2x

Back

2x - 1

Front

What transformation does g(x) = -f(x) represent for f(x) = x?

Back

Reflection across the x-axis.

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 shifted 4 units to the left from the graph of f.

Front

What transformation occurs when f(x) = x is replaced with f(x) + 2?

Back

Vertical translation up by 2 units.

Front

What is a vertical stretch in transformations?

Back

A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

Front

What is a vertical compression in transformations?

Back

A vertical compression occurs when the output values of a function are multiplied by a factor between 0 and 1, making the graph shorter.

Front

What does a reflection across the x-axis do to a graph?

Back

It flips the graph over the x-axis, changing the sign of all y-values.

Front

What does a reflection across the y-axis do to a graph?

Back

It flips the graph over the y-axis, changing the sign of all x-values.

Front

What is a horizontal translation?

Back

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