Module 2 Topic 2 Test (Transformations)

Front

What is a transformation in mathematics?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

Define vertical translation.

Back

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

Front

What does a horizontal translation do to a graph?

Back

A horizontal translation shifts a graph left or right without altering its shape.

Front

What is the effect of the transformation g(x) = f(x) - 3?

Back

This transformation represents a vertical translation of the graph of f down by 3 units.

Front

Explain the transformation represented by g(x) = f(x + 7).

Back

This transformation indicates a horizontal translation of the graph of f to the left by 7 units.

Front

What does the equation g(x) = -f(x) represent?

Back

This equation represents a reflection of the graph of f across the x-axis.

Front

What is a vertical stretch?

Back

A vertical stretch occurs when the graph of a function is stretched away from the x-axis, making it taller.

Front

How does the equation g(x) = rac{1}{4}f(x) transform the graph of f?

Back

This transformation compresses the graph of f vertically by a factor of 4.

Front

What is the parent function of linear equations?

Back

The parent function of linear equations is f(x) = x, which represents a straight line through the origin.

Front

Define reflection across the y-axis.

Back

Reflection across the y-axis flips the graph of a function over the y-axis, changing the sign of the x-coordinates.