1-2 Transformations (Applied)

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 reflect a function over the x-axis?

Back

Reflecting a function over the x-axis means that for every point (x, y) on the graph of the function, the point (x, -y) will also be on the graph.

Front

What is the effect of translating a function right by 2 units?

Back

Translating a function right by 2 units means that every point on the graph of the function moves 2 units to the right, resulting in the new function f(x-2).

Front

What is the effect of translating a function up by 1 unit?

Back

Translating a function up by 1 unit means that every point on the graph of the function moves 1 unit up, resulting in the new function f(x) + 1.

Front

What is the parent function of a linear function?

Back

The parent function of a linear function is f(x) = x, which represents a straight line through the origin with a slope of 1.

Front

What does a vertical stretch of a function do?

Back

A vertical stretch of a function multiplies the output values by a factor greater than 1, making the graph taller and narrower.

Front

What does a vertical compression of a function do?

Back

A vertical compression of a function multiplies the output values by a factor between 0 and 1, making the graph shorter and wider.

Front

How do you identify a reflection over the y-axis?

Back

A reflection over the y-axis means that for every point (x, y) on the graph, the point (-x, y) will also be on the graph.

Front

What is the transformation represented by g(x) = -f(x)?

Back

The transformation represented by g(x) = -f(x) is a reflection of the function f(x) over the x-axis.

Front

What does it mean to translate a function left by 2 units?

Back

Translating a function left by 2 units means that every point on the graph of the function moves 2 units to the left, resulting in the new function f(x+2).