4.7 Transformations of Polynomials

Front

Back

Front

Back

This transformation represents a shift of the graph 2 units to the left.

Front

Back

This transformation includes a vertical stretch by 3, a shift 2 units to the right, and a shift 5 units up.

Front

Back

This transformation indicates a reflection of the graph across the x-axis.

Front

Back

This transformation is a horizontal translation 4 units to the left.

Front

What is a vertical translation in the context of polynomial transformations?

Back

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

Front

What is a horizontal translation in polynomial transformations?

Back

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

Front

What does a vertical stretch by a factor of 'a' do to the graph of a function?

Back

It makes the graph taller and steeper, multiplying the y-values by 'a'.

Front

What does a vertical shrink by a factor of 'a' do to the graph of a function?

Back

It makes the graph shorter and flatter, dividing the y-values by 'a'.

Front

Back