Transformations Common Assessment Review

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

What does it mean to translate a function?

Back

To translate a function means to shift its graph horizontally or vertically without changing its shape.

Front

How does the equation y = x + 2 transform the parent function y = x?

Back

The graph shifts up 2 units.

Front

What does g(x) = f(x + 5) indicate about the transformation of f(x)?

Back

f(x) has been translated to the left 5 units.

Front

What is a reflection in the context of function transformations?

Back

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

Front

Which function reflects over the y-axis?

Back

The function (-x - 3)² + 5 reflects over the y-axis.

Front

What is the parent function of absolute value?

Back

The parent function of absolute value is y = |x|.

Front

Describe the transformation of the graph y = (x - 3)³ - 2.

Back

The graph shifts right 3 units and down 2 units.

Front

What is the effect of adding a positive number outside a function?

Back

It translates the graph upward.

Front

What is the effect of subtracting a positive number outside a function?

Back

It translates the graph downward.