Linear Transformations

Front

What is a translation of a linear function?

Back

A vertical shift.

Front

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 3. Describe the transformation.

Back

g(x) is shifted down 3 units.

Front

The linear parent function, f(x) = x, is transformed to g(x) = f(x - 3). Describe the transformation.

Back

g(x) is shifted right 3 units.

Front

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

Back

Vertical translation up by 2 units.

Front

How did the equation shift from the parent function? y = f(x - 4)

Back

Shift right by 4.

Front

What is a reflection in the context of linear transformations?

Back

A reflection is a transformation that flips a function over a line, such as the x-axis or y-axis.

Front

What does a horizontal shift of a function mean?

Back

A horizontal shift moves the graph of the function left or right along the x-axis.

Front

If f(x) = x is transformed to g(x) = f(x + 5), what is the transformation?

Back

g(x) is shifted left 5 units.

Front

What is the effect of multiplying a function by a negative number?

Back

It reflects the function across the x-axis.

Front

What does it mean to vertically stretch a function?

Back

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