Translations

Front

What is a translation in graphing?

Back

A translation is a transformation that shifts a graph horizontally, vertically, or both without changing its shape or orientation.

Front

What does the equation y = (x - 3)^3 - 2 represent in terms of transformations?

Back

The graph is translated right by 3 units and down by 2 units.

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is y = x^2.

Front

How does the equation y = (x - 4)^2 + 1 transform the parent function?

Back

It shifts the graph right by 4 units and up by 1 unit.

Front

What transformation does y = (x + 1)^2 - 4 represent?

Back

It shifts the graph left by 1 unit and down by 4 units.

Front

What does the term 'vertical shift' refer to in graph transformations?

Back

A vertical shift moves the graph up or down along the y-axis.

Front

What does the term 'horizontal shift' refer to in graph transformations?

Back

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

Front

What is the effect of a negative sign in front of a quadratic function, such as y = -(x - 2)^2?

Back

It reflects the graph across the x-axis.

Front

How do you identify the vertex of a quadratic function in vertex form?

Back

The vertex of a quadratic function in the form y = a(x - h)^2 + k is (h, k).

Front

What transformation does y = (x)^3 + 6 represent?

Back

The graph is translated up by 6 units.